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Statistics Questions and Answers March 07, 2024

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Advertisers concluded that Febreze can kill germs by 99.9. a) Statistically, why does this advertiser not state that Febreze can kill 100 of germs b) If the allegation that Febreze can kill germs by 99.9 of these germs is true, what is the effect that statistically occurs if the advertiser modifies the ads by making the claim that Febreze can kill
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6. Claude Shannon, widely credited as the founder of information theory, introduced the concept of information entropy in his 1948 paper A Mathematical Theory of Communication. If X is a discrete random variable having support Sx and PDF f, then the entropy (measured in bits) of X is log Hx E 1062 (IX)) log2 Entropy gives a measurement of
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1. Write a proportion that describes this situation 8 of 10 people surveyed liked a certain new soft drink, so if 200 people are surveyed wed expect about 160 to like it. 2. Solve each proportion. y 5 a. 84 b. 67 4 X2 20 3. Solve each equation. a. 34 k5 4. Solve for n B nw. b. If y 220 and x 40, find k in the equation ykx. 5. On February 21,
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A regional bus between Fort Collins and Denver mostly uses the highoccupancy vehicle (HOV) lane but it does have to cross two intersections. Let X be the number of stops the bus must make and the PMF is given below. Round all solutions to three decimal places. X p(x) 0 0.24 1 0.15 2 0.61 Now suppose the bus makes a round trip, so the sample size
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The volume or chargeable weight can be determined by usingseveral factors, depending on whether the measurements are inmetric, pounds, or a combination. Also, whenever you have afraction of a pound or kilo, always round UP, even if it is lessthan a half-pound or kilo. For example, 37.1 pounds would berounded to 38 pounds but 37.1 kilos would be

there are thirteen female board members and seventeen male boardmembers. how many ways are there to make a committee of ten boardmembers? how many ways are there to make a committee of ten boardmembers if exactly two must be female? Determine the probability ofselecting a committee of ten board members where exactly two of themembers were female.

Suppose that the average distance PGA tour players can drive a golf ball off the tee is 295.3 yards with a standard deviation of 15.15 yards. Assuming that distance is normally distributed, complete each of the following parts a. Sketch a normal curve for this distribution. Include labels for the mean and the bounds corresponding to the first
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Three percent of a man's body is essential fat; for a woman the percentage is closer to 12.5%. As the name implies, essential fatis necessary for a normal healthy body. Fat is stored in small amounts throughout the body. Too much fat, however, can be dangerous to your health. For men between 18 and 39 years old, a healthy percent of body fat

In the U.S., the EIT (Engineering In Training) is a professionaldesignation certifying engineers. Assume only four broad categoriesof engineers chemical, electrical, mechanical, and civil. Arecent survey found that 20% of EIT test-takers were chemicalengineers,35% were electrical engineers, 30% were mechanicalengineers, and 15% were civil

Problem 5 Gallup published a report on mental health in the United States based on a survey of a random sample of 173,655 American adults conducted throughout 2014. The percent of respondents currently being treated for depression is shown below, broken down by generation (Traditionalists, Boomers, GenXers, Millenials). Baby Boomers (19461964)
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Profit is measured as a margin (%). Rooms100 is the total number of motel rooms (inhundreds) within a 3-mile radius of the hotel. Highway is the number of miles between the hoteland its nearest highway interchange (in miles). Office1000 measures the amount of office space (inthousands of sq ft) within the surrounding area. Enroll1000 measures the

Say, on average, 41.3 frogs cross a road during a 10-hour periodof night. Frogs are not generally gregarious creatures, so theytend to cross one-by-one and independently. For example, theprobability that a frog will cross during a one minute period isnot influenced by whether a frog crossed in the previous minute. Ifthe frogs cross the road at a

A "shishi odoshi" is a Japanese yard decoration featuring ashort, cut piece of bamboo on a pivot. Water pours in one end ofthe bamboo, and when it gets close to full it falls over and dumpsitself out, making a popping sound when it hits the rock below.After it is emptied it swings back up to get refilled. 1) The amount of water in the bamboo at

Texas Shoe Company in Dallas manufactures footwear there. It entered into a two-year contract to sell its boots to Barunia, an Asian nation that uses the boots for its military. The sales price of each pair of boots, as of the June 1, 2016, date of the contract, is fixed for the duration of the contract at 13.00 Baruns which is equal to $10.00 USD

The World Population Clock indicates that the growth rate is declining. It estimates that in 2030 the population will be about 8.5 billion and the growth rate will be about 0.87% per year. Write a new exponential model for P(t), the population t years after 2030. Q = 8.5 (1+ 0.0087 )t Many scientists believe that the earth can support a maximum

Tiremax claims their high-end tires average 80,000 km before they need to be replaced. A survey of owners of the Tiremaxhigh end tires is conducted by a consumer magazine. The lifespan of the tires for 84 of these owners was recorded. Based on the survey results, can the consumer magazine state that the average lifespan is less than Tiremax's

The Upper Deck Ken Griffey, Jr., rookie baseball card is one of the iconic collectibles of the 1980s, and as such have maintained a decent value despite the fact that over a million were printed. In 2021, ungraded versions of the card sold for an average of 50, but hobbyists believe that average is increasing. A random sample of 38 recent sales of
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An underwater basket weaving class is taught in threemodalities: face-to-face (1), hybrid (2) and online (3). Thefollowing data represents the students final grade in theclass. Assume student grades follow a normaldistribution. Face-to-face (1): 93, 87, 92, 84, 89, 92, 91, 89, 88, 86 Hybrid (2): 88, 88, 89, 87, 90. 90, 90, 89 Online (3): 86, 90,

Using the hospital data you coded and entered into SPSS in Discussion 2 , you are tasked to perform the following analysis in SPSS. Note the following: Leave all missing values as empty cells. That is, at the Data View of SPSS delete all the entries of the missing values before you proceed with the analysis. All outputs must be copied and pasted

The Water Department of the city of Fort Worth, Texas, has topurchase untreated lake water from several administrative entitiesaround the city in order to fulfill the water requirements of itspopulation. Most of the water is treated and pumped at one oftwo plants The Holly Water Treatment Complex and the RollingHills Plant. The rolling Hills

1.) Describe 5 different types of data distributions. You may include jpegs or bitmaps. Provide 2 examples of a variable that is representative for each distribution. You may not use the standard normal. t-distribution, F-distribution, Chi-Square distribution , Binomial distribution, or uniform distribution. These distributions are all covered in

1) Define a variable for each statement, then translate into Mathematics DO NOT SOLVE a) Three less than the quotient of 30 and a number, is 13 b) Twentyone dollars was threeeighth of the total money spent c) The product of three consecutive negative odd integers is 29667 d) If in three years, Anikas grandfather will be seven times as old as
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A furlong is 1/8 of a mile, and a rod is 5 yards. Chain has 100 links, and a chain is also 4 rods. Answer the following: a. How many inches equal 1 rod? b. How many feet equal 1 chain? c. In inches, how big is a link? d. If a plot of land is one furlong by one chain, how many square feet are enclosed?

In order to define the derivative of the (shifted) Dirac delta function, 8'(t-a), the typical method is to use it inside an integral and integrate by parts, noting that the delta function is zero everywhere except at t = a. Assuming that a > 0, what is [ f(t)8'(t a)dt Using the definition of the Laplace transform, what is L{8'(t a)}?

The map below shows states in the upper midwest of the United States. Use Eulers theorem to determine whether a family could visit each state shown while crossing each common border only once. If such a path or circuit exists, use trial and error or Fleurys algorithm to find one. MN W MI IA IN MO MI

At a party a cooler is filled with cans of drinks: 12 cokes, 6diet cokes, 4 lime seltzers, and 8 lemon seltzers. You grab a canfrom the cooler at random. a) What is the probability that you grabbed either a Coke or aDiet Coke? b) Before you look at the can, your friend says, "I didn't knowyou drank seltzer." Given this information, what is the

2. As part of a volunteer project, our class is tasked with creating a basketball court at a local Boys Girls Club location. Below is a diagram of the space 72 ft 12 ft Fence 15 ft Lane Lane Fence 90 ft Fence 54 ft a. If we needed to buy fencing in order to surround the triangular court, and the proper kind of fencing costs 3.99 per foot, how
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What a drag! This is a true story. Note your answers will be approximations. A former student of mine, Nick, drag raced at Firebird International Raceway on the weekends and after the races they would give him a printout of his race. The actual print out from October 28 th , 2006 has this data. Car # 1690 Reaction Time 0.02 seconds 60 feet mark

One basketball statistic is the "assist-to-turnover" ratio(assists are good, turnovers are bad). During part of theseason, Emma had 3 assists and 6 turnovers, Molly had13 assists and 18 turnovers, and Alex had 10 assists and 14turnovers. A student reasons that Molly is the best player of the threebecause she made the most assists. Is this

Naming the ink color of color words can be difficult. For example, if asked to name the colour of the word blue is difficult because the answer (red) conflicts with the word blue. This interference is called Stroop Interference after the researcher who first discovered the phenomenon. This case study is a classroom demonstration. Students in an
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If the 2315 possible words are known, then one way to play the game is to randomly select with equal probability and without replacement words from this list until the correct word is chosen or six attempts have been made...whichever occurs first. 1. What is the probability we guess the correct word on the first attempt? 2. What is the probability

A large office building is being designed to house manydifferent sized businesses. They have several floor plansavailable. Each plan has 3 types of office suites: small, medium,and large. Floor plan A has 3 large, 7 medium, and 8 small suites.Plan B has 4 large, 4 medium, and 8 small suites, while plan C has5 large, 3 medium, and 9 small. Is it

A rectangular flat-screen computer monitor has a diagonal that measures 20 inches. The ratio of the length of the screen to the width of the screen is 4 to 3. What is the perimeter of the screen, in inches?

A TI-84 graphing calculator needs four AAA batteries. Whenbatteries are produced, they are not all the same exact dimension.If they are too small or too big, they will not fit in thecalculator. Suppose that 98% of all batteries that are produced arethe correct dimension to fit in the calculator. If four batteriesare selected at random then find

A runner in a half-mile race tripped and fell 3/5 of the way from the starting line to the finish line. If there are 5,280 ft in a mile, how far from the finish line was the runner?

Uhaul charges $0.10 per mile with no flat fee. Penske charges $0.05 per mile plus a $50 fee. Write a function that can be used to find m, the number of miles a person must drive for both companies to charge the same amount?

The total price for movie tickets for four adults and two children is $25. Knowing that the ticket price for a child is half the price of an adult ticket, how much does a child's ticket cost?

You use 3/4 cup of hummingbird feed each time you fill thefeeder. How many times can you fill the feeder if you mix thefollowing amounts of food? a) 1 cup = ____ times b) 2 cups = ____ times c) 7/8 cups = ____ times

13. There are four aces in a deck of 52 cards. If you pull a card, return the card, then reshuffle and pull a card again: How many ways cay you pull just one ace in five pulls? 14. There are four aces in a deck of 52 cards. If you pull a card, then return the card, then reshuffle and pull a card again: What is the probability of pulling four aces

Goodyear Tires just completed a "Buy Three Get One Free" promotion on its ultra-grip SUV tires, regularly priced at $249.99 per tire. Over the course of the promotion, 1,405 tires were sold resulting in sales of $276,238.95. How many tires were sold at the regular price and how many tires were sold at the special promotional price?

The average of five distinct positive integers is 60. If the average of two numbers out of these five numbers is 40, then what can be the greatest number among the remaining?

Carry the answer to five decimal places. A carbon brush measures 23/32 inch wide and 1 15/32 inches thick. It is to have a copper plating on all sides 0.015 inch thick. What will be the finished width in decimal form of the brush with the copper plating?

If a completely full 5-gallon water jug is drained through aspigot, the depth is given by the formula below where t is thetime, in minutes, that the spigot is open and D is the depth, ininches, above the spigot. D = 0.265t2 ? 4.055t + 15.5 (a) Make agraph of D versus t. Include values of t up to 7.5 minutes. MapleGenerated Plot Maple Generated

The school has a case of 144 snack-size candy bars and24 sodas. If these are divided evenly among thestudents, how many students will get candy and soda? Howmany candy bars and sodas will each child get? Is the greatest common factor or least common multiple needed inthis situation?

Suppose data set 4.5, 40.5, 10.5, ...., has mean 16.5 and variance 144. The data is measured in inches The data is then transformed to measure in feet instead of inches. One foot equals 12 inches. What is the variance of the transformed data? (give an exact value)

A particle is equally likely to lie anywhere on the circumference of a circle of radius R. Consider as the z axis any straight line in the plane of the circle and passing through its center. Denote by the angle between the z axis and the straight line connecting the center of the circle to a particle. (a) What is the probability that the angle

In a XYZ Bank, the loan department needs to predict if the customer will apply for a housing loan or not. Given past data of customers. Identify the feature which would be the split note in Decision Tree using Chi Square, were chisquare is defined as ((O E)2) E (Note Retain expected values as whole numbers, ex 4.3 as 4 and 4.5 as 5) Job

Mike and Ikes are a popular oblong fruit-flavored chewy candiesthat come in several flavors, cherry, orange, lime, lemon, andstrawberry. Recently, Mike and Ike have been receiving customercomplaints that the candy packages have many more orange andlime-flavored candies, which are their least favorite. The companybelieves these claims are false and

The average salary for Californiapublic school teachers in 2019-2020 was $84,531. Suppose itis known that the true standard deviation for California teachersalaries during that time was $18,000. Use this information to answer the following questions. Question 1a: Suppose you knew that thedistribution of California teacher salaries was skewed

The North American numbering plan (NANP) specifies the format oftelephone numbers in the U.S., Canada, and many parts of NorthAmerica. A number in this plan consists of ten digits whichare split into a three-digit area code, a three-digit office code,and a four-digit station code. Because of signalingconsiderations, there are certain restrictions

As part of their final project in AP stats, Christian and Rachel randomly select 18 rolls of toilet paper to measure how well this brand could absorb water. To do this, they poured a 14 cup of water onto a hard surface and counted how many squares of toilet paper it took to completely absorb the water. The mean number of squares needed was 24.94
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One of the core classes at Hogwarts is Potions. Three potions taught in this class are the antidote to common poisons, the forgetfulness potion and the Swelling Solution. In order to brew one antidote to common potions you need one gram of unicorn Horn, one bezoar and two mistletoe berries. To brew a forgetfulness potion you need three grams of
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An economist is studying the relationship between workers' years of experience and income. The economist decides to test for correlation using a significance level of 10%. Suppose that the software calculates a p-value of 0.1240. Does this indicate that there is a relationship between experience and income?

A paraffin wax candle is 6.25 inches tall and 1.50 inches indiameter. a) The candle is 6.25 inches tall and 1.50 inches in diameter.What is the candle volume in cubic inches? b) You will convert the candle volume from cubic inches tomilliliters given a conversion factor between inches andcentimeters. What unit of volume does mL represent? c) To

Charles Turk son, production manager of Guinea Fow unlimited (GFU), has been conducting a study to determine if a new feeding process produces a significant increase in mean weight of guinea fowls produced in the facilitiesof Guinea Fowl Unlimited (GFU). In the process sheobtains a random set of matched Guinea fowl chicks hatched from the same

Consider a game board consisting of a square with side L and a circle of radius R randomly positioned within the square so that it is completely contained within the square. You are offered to play the following game: 1. In order to play you need to pay fee C1. 2. You are positioned in front of the board, blindfolded and the board is then rotated.

In a pet shelter for cats only, there were 45 black cats, 30long-haired cats, and 30 cats who were old (> 10 years old). Forthis study, cats in the shelter were classified as black/not-black,young/old, and long-haired/short-haired. 12 cats were black, youngand long-haired, 10 were black, short-haired and old, 5 were black,long-haired and old, and

A pond in a fish hatchery starts out with 1000 fish, which is also the capacity of the pond. The fish population is known to grow at the rate of r 0.01day. They are harvested at the rate of h fishday. (a) A simple exponential growth model for the fish population is given by dP rP h dt With this model, how many fish hmax can be caught at most
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Air Dams are considered to be one of the best optimization for vehicle design aerodynamics, please discuss in no more than 500 words the following and include graphs and figures: The factors that contribute to the selection of a vehide for a given optimization Analyze the effects of air dams on air drag and downforce for different vehicle design.

Problem 10 A Tim Duncan Topps Finest rookie card is number 101 in a set of 163. Six randomly selected and equally likely cards come in each pack. Of course, with random selection there is the chance that a pack may contain duplicate copies of the same card. i. What is the probability that any given pack contains one Duncan rookie card ii. What is
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What is the standard deviation on this stock given the following information and noting that the expected return on the stock is 5.4%? Economic State probability stock return boom 0.3 12% normal 0.5 4% recession 0.2 -1%

Polyuria, polydipsia, and polyphagia are three major symptoms ofdiabetes. Polyuria is the need to urinate frequently, polydipsia isan increased thirst and fluid intake, and polyphagia is anincreased appetite. Although it is common for multiple symptoms toappear together, some diabetics present none of the three symptoms.Presenting any one or a

Recall the nursery rhyme, Jack and Jill. Sketch graphs of each scenario on the same pair of axes. Label each axis with its meaning. Label the graph showing Jacks motion with Jack and Jills with Jill. a. Jack and Jill run up the hill. Both are running at a constant rate. Jill ran faster than Jack. Show the graphs of their race. b. Jack and Jill
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A store selling carpet tracks the amount of square footage sold to its customers, rounding to the nearest 500 sq ft. Here is the table. area 500 square feet 1000 square feet 1500 square feet 2000+ square feet probability 0.10 0.25 0.45 0.20 a) What is the average expected area sold (I already found this answer by doing 500(0.10) + 1000(0.25) etc

A poker player holds a flush when all 5 cards in the hand belongto the same suit (clubs, diamonds, hearts, or spades). Recall thata standard deck of cards contains 52 cards, 13 of each suit, andthat when the deck is well shuffled, each card dealt is equallylikely to be any of those that remain in the deck. (a) What is theprobability that the first

There are two major tests of readiness for college, the ACT andthe SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores isapproximately Normal with mean ? = 21.5 and standard deviation ? = 5.4. SAT scores are reported on a scalefrom 600 to 2400. The distribution of SAT scores is approximately Normal with mean ?

Suppose all seven of the cubes from the center each face to the opposite face of a large 3 times 3 cube are removed and the resulting figure is dipped in red paint. How many cubes have red paint on 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces? Explain. If the vertex angle of a regular polygon has measure 168 degrees, how many sides does it

Suppose the chance of rain in Chicago and Minneapolis are correlated. Define X = 1 if it is raining in Chicago some day and X = 0 if not; Similarly, define Y = 1 if it is raining in Minneapolis and Y = 0 otherwise. Now we know the probability of raining in Chicago and Minneapolis are both 0.35, i.e., P(X = 1) = 0.35 and P[Y = 1) = 0.35. Now (a) If

The smallest mammal in the world. The smallest mammal in otherworld is the bumblebee bat, also known as a pig-nosed bat. These animals barely reach the size of a large bumblebee. The weights (engrams) of a sample of these bats are included below. Use significance level of 0.05 to test the claim that these weights come from a standard deviation of

1. A software process picks a random number between 1 and 30. What is the probability that two odd numbers are picked in a row if numbers cannot be repeated? 2. A software process picks a random number between 1 and 30. Numbers can be repeated on each iteration of the process. If the process is called 7 times and each time returns a number, what

On a map where each unit represents one kilometer, two marinas are located at P(4,2) and Q(8,12). If a boat travels in a straight line from one marina to the other, how far does the boat travel?

Leon knows that his first four test grades were 86, 95, 98, and 88. Use the formula x = x1 + x2 + ...+Xn 2 + win to find Leon's grade on the fifth test if his test average is 90.2.

For New York City weekday late afternoon subway travel from Times Square to the Mets stadium, you can take the #7 train that leaves Times Square every 5 minutes. The waiting time is equally likely to be anywhere from 0 to 5 minutes. a.) What's the probability that the waiting time is greater than 2 minutes? Be sure to draw a picture of the

4. 54 of the population of the Los Angeles metro area speak one of 184 languages other than English at home. Suppose that you pick people at random from the L.A. metro area. www.census.govnewsroompressreleases2015cb15185.html a. For each sample size in the table, give the mean and SE of the sampling distribution of p. sample size, n mean standard
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According to World Atlas, only about 2% of the global populationhave green eyes, and only about 10% of the global population areleft-handed. Assume these traits are independent of each other.What percentage of people... A) are left-handed and have green eyes? B) Are not left-handed and have green eyes? C) Are not left-handed and do not have green

3. The population in Terre Haute Indiana in 2012 was 61,112 in 2019 the population was 60,622. Clinton Indianas population in 2012 was 4,800 residents in 2019 4,700 people called Clinton home. Explain which city had the largest population relative increase or decrease.
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Factories in four states supply the University of Maryland Bookstore with Under Armour apparel in the following proportions: Texas - 0.22, Iowa - 0.24, West Virginia - 0.18 and Maryland = the rest. The proportion of Hell in a Shell t-shirts that are misprinted equals 035 for the Texas factory, 0.15 for the Iowa factory, 0.25 for the West Virginia

a) There is a donut shop with 4 types of donuts. A, B, C, D What is the probability that a random sale of 12 donuts contains at least 6 donuts of type A Assume all sales are equally likely. b) What is the probability that 2, unfair, sixsided dice have a sum of at least 10 Let the probability distribution for both dice be P(d x) 2, e.g. the
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A person wants to know whether the average waiting time for restaurant A is longer than the average waiting time of restaurant B. Assume the population variances are equal. What statistical method should be used 2 (2 pts). A customer wants to know whether Walmart is cheaper than WinDixie in Meridian. What statistical method should be used 3 (2
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The movie 21 is about a group of MIT students who count cards to improve their probability of winning at Blackjack in casinos. Have you ever wondered what card counting is and if it is legal

gree PLAY 50 0005 LOSE S 0004 650 BANKRDA 355 50 1650 BANKA 160 9 L In the game show Wheel of Fortune, contestants take turns spinning the wheel above. Assume that when the wheel is spun, every space on the wheel is equally likely to occur. ) Compute the probability that when the wheel is spun it will land on a Bankrupt space Compute the

Plastic Card vs Metal Card Original Assumptions Lifetime Card Materials Cost Card Type Plastic Metal (Paid by Capital One in Year 1) Annual Servicing Cost Average Annual Spend Average Annual Interest Income 25 75 10year 10year 200,000year 220,000year 100year 40year If Capital One makes a 0.1 profit on every dollar spent by their customers, what is

Which number of days would maximize Environmentalist Eds chances of suing Diesel Dave (Hint What does the CLT say about the variance of the sampling distribution as n changes),5.) Diesel Dave has modified his massive truck to combat global cooling, and to roll coal on his neighbor Environmentalist Ed. With each blast of diesel exhaust fumes,

Your job is to locate Parabolas, Circles, Ellipses, and Hyperbolas in the real world around you. Once youve located them you need to take a picture and document their location. These conics can be man-made or something seen in nature but you cantmake them yourselves in order to get the desired shape. Look aroundthey are out there. Taking pictures

License Plate numbers come in a variety of styles. 1. Why mighta style using 2 letters followed by 4 digits be better than a 6digit style? 2. How many more license plates are there with a styleusing 2 letters followed by 4 digits than the 6 digit style? Howmany times as large is the number of license plates possible with astyle using 2 letters

Tesla likes to know how many test drives its Los Angeles dealerships provide on any given business day. Tesla knows that test drives average 24 per dealership per day with a standard deviation of 5. In a random sample of 50 business days, what is the probability that the samples average number of test drives is between 22 and 25?

she went to naper nuts & sweets to buy a box of 25 chocolates. there are 8 filled with nuts, 8 with caramel, and 9 solid milk chocolates. she randomly takes and eats one piece, then a second piece a. what is the probability that she eats 2 solid milk chocalate b.what is the probability that she eats 1 carmel and 1 filled with nuts c.what is the

283. ROCKPAPERSCISSORS Read the rules for the RockPaperScissors game below. Is this a fair game Discuss this question with your team. How to Play . At the same time as your partner, shake your fist three times and then display either a closed fist for rock, a flat hand for paper, or a partly closed fist with two extended fingers for scissors. Rock
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Deriving the Area of an Obtuse Triangle You just derived theformula for the area of an acute triangle using trigonometricratios. Now extend the idea to finding the area of an obtusetriangle. Part A Draw a line that passes through points A and B. Then draw a linethrough point C that is perpendicular to line AB . Label theintersection of the

4 A player has 3 dollars. At each play of a game, he loses a dollar with a probability of 3/4 but wins 2 dollars with probability of 1/4. He stops playing if he has lost his 3 dollars or he has won at least 3 dollars. Find the transient probability matrix of the Markov chain. What is the probability that there are at least 4 plays of the game?

Use Excel to look up the following Z values. Note thatZ A is the Z-value that gives you the associatedprobability or the area under the curve (A Area). Write out theExcel function and inputs used for your calculation. a. P(Z Z .12) = .12 Show solution graphically. Makesure the probability and z value are clearly labeled. c. P(-Z A

Ten members of a wedding party are lining up in a row for aphotograph. a. How many ways are there to line up the 10 people? b. How many ways are there to line up the 10 people if the groommust be to the immediate left of the bride in the photo? c. How many ways are there to line up the 10 people if the groommust be next to the bride (on either her

In 1990, the population of Winnemucca, Nevada was 6191 people. The population in Winnemucca, Nevada in 2000 was 9164 (#'s 11 & 12) (11) Write a linear function equation P(1) that represents the population of Winnemucca, Nevada (12) When will the population of Winnemucca, Nevada be 3000

One kind of plant has only blue flowers and white flowers, According to a genetic model, the offspring of a certain cross have a 75% chance to be blue-flowering and 25% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised and 142 turn out to be blue-flowering. Are the data consistent with the

The owners of Spiffy Lube want to offer their customers a10-minute guarantee on their standard oil change service. If the oil change takes longer than 10 minutes to complete, the customer sis given a coupon for a free oil change at the next visit. Based onpast history, the owners believe that the timer required tocomplete an oil change has a

legend loves playing retro bowl with his friend. on Saturday he played for 115 minutes in a row. This was two minutes less than 3 times the amount devin played. How long does Devin play retro bowl for?

The oldest child in a family of four children is twice as old as the yougest. The two middle children are 13 and 15 years old. If the average age of the children is 15.25, how old is the youngest child?

Polygraph tests have an accuracy rate of about 90% meaning apositive will indicate the person is lying. A company of 5000employees has everyone submit to a polygraph test. It turns outthere are 50 employees who will lie during theirpolygraph. (Do not use commas.) Positive test result Negative test result Total You are lying 45 5 50 You were not

A plane traveling north at 120 knots passes directly over thePrescott airport. A second plane passes east over the airport onehour later, at a speed of 100 knots. Both planes are at the samealtitude. After one more hour, how fast is the distance between theplanes changing?

How many calories does a hot dog have? Consumer Reports magazinepresented the following data on the number of calories in a hot dogfor each of 17 brands of meat hot dogs: 173 191 182 190 172 147 146 139 175 136 179 153 107 195 135 140 138 Make a stemplot of the distribution of calories in meat hot dogsand briefly describe the shape of the

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