Statistics Questions and Answers March 07, 2024

Marucus and Levi decide to compare the cost per ounce. Marcus knows that 2.25 pounds is equal to 36 ounces. What is the cost per ounce for each of the peanuts

If a pharmacist adds 4.5 g of hydrocortisone powder to 60 g of a 2.5% (w/w) hydrocortisone cream, what is the resultant percentage strength of hydrocortisone in the product?

Players A and B each pick a number between 1 and 100. The game is a draw if both players pick the same number. Otherwise, the player who picks the smaller number wins unless that smaller number is one less than the opponent's number, in which case the opponent wins. Find the optimal strategy for this game as well as the value of the game.

At noon on Monday, th temperature was -12 Fahrenheit. Theformula for converting temperature in Fahrenheit (F) totemperatures in Celsius (C) is F=9/5 C+32. What was the approximatetemperature in Celsius at noon on Monday?

There are 12 face cards in a deck of standard playing cardsand 20 even numbered cards. If you draw one card and look at it.Then replace it and then draw another card. What is the probabilitythat you would draw a face card and then an even numbered card?

A police radar gun is 98% accurate; in other words, it indicatesthat a car is speeding when the car actually is with probability0.98 and indicates that a car is not speeding when it is not withprobability 0.98. Your teenager speeds 75% of the time. If shecomes home and tells you that she got a ticket, what is theprobability that she was speeding

If a product costs $1500 for the first unit and there is a 10% discount starting on the second unit, a 15% discount (from the original price) starting on the 5th unit, what would be the cost for 6 units?

Mt. Brighton Ski Resort is looking at their response times foremergency calls at their resort. One variable of interest isthe time it takes to respond to a call for ski patrol help. Let Xbe the continuous random variable that describes this time. Theirlast data gathering exercise showed that the average time was 5minutes and the standard deviation

Mt. rogers, With an altitude of 5700 feet, the highest point in Virginia. The angle of elevation from the top of mt. rogers to a plane flying overhead is 33. The straight-line distance from the mountain top to the plane is 4600 feet. Find the altitude of the plane.

When Ricardo was 9 years old, he was 56 inches tall. Ricardo is now 12 years old and he is 62 inches tall. Find the percent of increase in Ricardo's height to the nearest tenth

Ron, Sue, and Ted arrive at the beginning of a professor's office hours. The amount of time they will stay is exponentially distributed with means of 1, l/2, and 1/3 hour. (a) What is the expected time until only one student remains? (b) For each student find the probability they are the last student left. (c) What is the expected time until all

In a sample of 45 mice, a biologist found that 46% were able to run a maze in 30 seconds or less. Find the 99% limit for the population proportion of mice who can run that maze in 30 seconds or less.

A New Suit Matthew Stringer is shopping for a new suit .At K andG Menswear ,he finds that the sale price of a suit that was reducedby 25% is $187.50. Find the regular price of the suit .

Question 2 (5 points) A warehouse has interior dimensions 75 feet long by 30 feet wide by 15 feet tall. What is the warehouse's interior volume measured in cubic meters?

Muscle FitnessMagazine surveyed 76 adults ages 18-25regarding their exercise programs. The following results wereobtained 30 were using Zumba dance 29 were using Yoga 26 men responded to the survey Of the people that use Zumba, only 5 weremen. Of the people using Resistance Training, only 6 werewomen. a) Create a table to organize theinformation

A random number generator should produce random numbers that are uniformly distributed on the interval from 0 to 1. If this is true, the numbers generated come from a population with u 0.5 and 112. Suppose that a command to generate 100 random numbers gives outcomes with mean 0.42. If the population o remains fixed, suppose that we want to test

Suppose 235 euros are worth 260 U.S. dollars. If strawberries ata store in Spain cost 6.7euros per kilogram, what is theirequivalent price in dollars per pound? (Recall that 1kilogram isapproximately equal to 2.205 pounds.)

A report says that the heights of 20 year old men have mean 176.8cm and standard deviation 7.2 cm. What is the mean and standarddeviation in inches? There are 2.54 cm in an inch. Remember therules for mean and variances.

Suppose an elevator in the Empire State Building weighs 1700 pounds. Find the work W required to raise the elevator from ground level to story number 91, some 1092 feet above the ground level. W =

The pollen count distribution for Los Angeles in October is not normally distributed, with u= 8.0 and standard deviation of 1.0. A sample of size 64 is taken. Find the 75th percentile of sample mean. Round your answer to the nearest hundredths.

If a recipe calls for 600 grams of chocolate how many ounces of chocolate do you need to use? You have just converted a recipe for a root vegetable soup. The recipe is now calling for 6 cups of heavy cream and 8 teaspoons of salt. How many pints of heavy cream do you need to use?

Southern Florida is known as the "Lightning Capital" of the U.S. It averages 25.1 lightning strikes per year per square mile with a standard deviation of 5.25. A meteorologist believes the number of strikes has increased. Using a sample of the last 40 years with 26.5 strikes, does there seem to be a significant increase? Use alpha = .01.

The Speedy Oil Change Company advertised a 15-minute wait for anoil change. A sample of 23 oil changes showed a mean time of 13.5minutes and a standard deviation of 4.3 minutes. At the 5% level ofsignificance, is there evidence that the mean time for an oilchange is less than 15 minutes? Assume the population isapproximately normal.

A red car is located 50 miles to the north of a blue car. The red car begins to drive south at 40 miles per hour. Simultaneously, the blue car begins to drive east at 70 miles per hour. (a) What is the closest that the two cars ever get to each other? (b) How long does it take for this minimum distance to be achieved?

A sample of 103 college students asked them if they likedstatistics. 92.2% said yes. Calculate a 97% confidence interval forthe true population proportion of those who like statistics. lower limit: upper limit:

A stadium vendor serves draft beerin plastic cups.On average, the vendor places fourteen ounces ofbeer in each cup with a standard deviation of .35 ounces percup.Assuming this is normally distributed, what is the probabilitythat a customer will receive a cup containing less than 13 ouncesof beer?Draw a graph to illustrate this problem.

Steph Curry is a 91% free throw shooter. Suppose he shoots 10free throws in a game. What is his expected number of shots made?What is the probability that he makes at least 8 free throws?

Suppose the population mean height of NBA basketball players is79 inches (6 feet 7 inches) and the population standard deviationis 3.5 inches. You take a random sample of 20 NBA players andcalculate x bar, the sample mean height. What is the probabilitythat the sample mean is greater than 80 inches?

Suppose you have $3 and a fair penny. At each round, you flipthe penny. If it lands heads-up, you gain a dollar. If it lands ontails, you lose a dollar. You stop the game when you have either $5or $0. What is the probability of each outcome? Hint: The nodes inyour Markov chain should be the dollar amounts, $0-$5.

Turkish Womens National Volleyball Team got bronze medal in2021 CEV European Women Championship beating Netherlands by a scoreof 3-0. The results of a poll taken after state that 36% of Turkishwomen list volleyball as their favorite sport. A note then states:In a sample of this size (1,091 women) one can say with 95%certainty that the results are

Question 1 (1 point) Listen A long-term care resident is to take 15 mL of a medication 3 times a day. How many teaspoons (tsp) will this patient need for a 3 day supply of this medication based on this order?

We use the regression equation to predict a step length fromhuman height. The regression equation is: What the step length does the model predict for a human heightof 65 inches? What the step length is predicted for a human heightof 75 inches? Step length (inches) Height (inches) 25.6 65.4 26 66.2 26.3 67.6 26.6 66 27 70 27.3 72 27.5 70.3 28 69.4

Step 12.432 0.585 Height

If i weigh 130 pounds and i ate a dunkin donutsboston kreme donut (270 kcal) - how many miles do i have to run to burn off the energyequivalent to the donut? please show all work with units so i can use your answer as aguide

The weights of the attendees at a baseball camp is distributednormally with average weight of 130 pounds and standard deviationof 15 pounds. A. If you pick someone at random, what is the probability thatthe person is more than 130 pounds? (to 4 decimals) B. If you pick someone at random, what is the probability thatthe person is more than 120

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

Use the function c to create a vector with the average temperatures in January for the cities A, B, C, D, E, and F, which are 35, 88, 42, 84, 81, and 30 degrees Fahrenheit, respectively. Call the object temp. Now create a vector with the city names and call the object city. (a) Use the function names to associate the city with its own temperature.

Given a student never cheated on an exam was selected at random, what is the probability this student is a female Round your answer to 3 decimal places (e.g., X.XXX)

(a) The following are the amount of time, in minutes, which it took a random sample of 20 technicians to perform a certain task 18.1 20.3 18.3 15.6 22.5 16.8 17.6 16.9 18.2 17.0 19.3 16.5 19.5 18.6 20.0 18.8 19.1 17.5 18.5 18.0 Assuming that this sample came from a symmetrical continuous population, use the sign test at 5 level of significance to

The current model Boeing 737 has a capacity of 189 passengers.Suppose Delta Airlines uses this equipment for its Atlanta toHouston flights. The distribution of the number of seats sold forthe Atlanta to Houston flights follows the normal distribution witha mean of 155 seats and a standard deviation of 15 seaths. a. What is the likelihood of

The hall of fame baseball player, Joe DiMaggio, set an MLB record of longest hitting streak with 56 games. a.) (5pts) During this streak, DiMaggio had around 4 atbats per game. If DiMaggio had a 0.325 batting average (i.e. his career proportion of hits per atbat), then what is the probability that DiMaggio got at least one hit in any one game b.)

In a study of Facebook users conducted in a recent year, the mean number of Facebook friends per user was 216 and the median was 347. If a histogram were constructed for the numbers of Facebook friends for all Facebook users, would you expect it to be skewed to the right, skewed to the left, or approximately symmetric,Four of the people on Student

11 At a local sports club, 15 17 20 of the members play tennis and racquetball. play tennis. If a member is selected at random, and that member plays tennis, find the probability that heshe also plays racquetball.,How many phone numbers are possible in the (770) area code if For the form ABC XXXX, A is restricted to numbers 28, but B, C, and X can

Paul likes to play Wordle, an online game where you must correctly guess a 5letter word. The probability that Paul guesses the correct word during one game is 0.85, independent of each other game. (a) Paul plans to play one game each day next year for a total of 365 games. Let X represent the total number of these games in which he correctly

Scores (X) of students on a college entrance examination are normally distributed with 555 and 26. If you select one student at random, what is the probability that the selected student will have a score greater than L where L 555 26 Enter your answer with at least two digits after the decimal, may use standard rounding rule.

A bowling lane is 60 feet long. If a bowling ball isreleased at t = 0 and reaches thepins 2.5 seconds later, what is its average speed?

(CO 3) The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 15% of bedrooms in a home?

The distance from the Earth to Pluto is 4.67times 10^(9) miles. If a new flying machine can travel 1.92times 10^(5) miles per year, how many years would it take to reach Pluto? Write your answer in standard form, rounded to the nearest year.

The Cape Hatteras Lighthouse at the Outer Banks of NorthCarolina is the tallest lighthouse in North America. If a 5 -footwoman casts a 1.5 -foot shadow and the lighthouse casts a 60 -footshadow, approximately how tall is the Cape Hatteras Lighthouse?

A deuce in a tennis match is when both players are tied at three points each. If you ever watch tennis, when the score is a deuce, the player that wins the next point is said to have the advantage, in that if they score the next point, they win the game. If they lose the next point, the score is a deuce again. Thus, in order to win the game, a

Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians have blue eyes. (ii) 38% of all

combination lock uses 3 numbers, each of which can be 0 to 21.If there are no restrictions on the numbers, how many possiblecombinations are available?

A company set up a kiosk at Great Lakes Mall for several hoursand asked 150 randomly selected people where they prefer to watchmovies. The results follow: Females Males Total At the theater 32 27 59 Online 15 23 38 On the television 20 22 42 I dont watch movies 5 6 11 Total 72 78 150 a) What is the probability that a randomly selected person is

A door to door vacuum cleaner salesman finds that for each housevisit he has a 20% chance to sell the vacuum cleaner. Today heplans to visit 3 houses. Assume that customers' purchase behavioris independent. Use Excel to find the following: (a) Find the probability that he can sell at least 1cleaner. (b) Find the expected number of vacuum cleaners

An expensive watch is powered by a 3-volt lithium battery expected to last three years. Suppose the life of the battery has a standard deviation of 0.3 year and is normally distributed. a. Determine the probability that the watch's battery will last longer than 3.5 years. b. Calculate the probability that the watch's battery will last more than

John's lucky numbers are 3, 7, 9, 13, and 21. Calculate the probability of spinning his lucky number on the equalsection spinner with numbers 1-20. Leave your answer as apercent to the nearest tenth (one decimal) after converting to%.

he Middle Wonderland language consisted of only four letters: A, B, C, and E. A word in this language is an arbitrary sequence of no more than five letters that contains at least one vowel (A or E). How many 5-letter words are there in this language?

An M&M candy dispenser has 25 red, 25 blue, and 25 greenM&Ms. The dispenser dispenses 20 M&Ms each time. What isthe probability, that on the first use, you will get at most 8 redM&Ms out of the 20 dispensed. (round the answer to threedecimals)

A round-robin tournament is one where each player plays each ofthe other players exactly once. Prove that if no person loses allhis games, then there must be two players with the same number ofwins.

A typesetter, on the average, makes one error in every 500 words typeset. A typical page contains 300 words. What is the probability that there will be no more than two errors in five pages? I am sure this is a Poisson. Is Lambda equal to (3/5)? And then do I take p(X=2)? And then times it by 5 for the 5 pages?

The Top Thrill Dragster travels at 120 mph and the steelrollercoaster mean speed is 61.67 mph. How many standard deviationsis the speed of the Top Thrill Dragster from the mean speed? 14.67standard deviation of the steel roller coaster.

Suppose the average driving distance for last year's Player'sChampion Golf Tournament in Ponte Vedra, FL, was 292.5 yards with astandard deviation of 14.2 yards. A random sample of 60 drives wasselected from a total of 4,244 drives that were hit during thistournament. What is the probability that the sample average was 289yards or less?

11. FOOD TRUCKS A restaurant critic has 10 new food trucks to try. If she tries half of them this week, what is the probability that she will choose Nacho Best Tacos, Creme Bruleezin, Fre Sha Vaca Do's, You Can't Get Naan, and Grillarious?

There are 148 calories in a cup of whole milk and only 74 in a cup of skim milk. In switching to skim milk, find the percent of decrease in number of calories per cup. The percent of decrease is . (Type a whole number or a decimal.),First, find the amount of decrease by subtracting the new amount from the original amount. Next, use the formula

2) The height of the giant panda standing up is randomly distributed, with expectation 150 cm and standard deviation 1.5cm. a) State an upper bound on the probability that a randomly chosen panda is at least 180 cm tall. b) State an upper bound on the probability that the height of a randomly chosen panda is outside the interval between 146cm and

8. A triangular wheel is spun 5 times in a game of "Spin the Triangle" There are three different corners of the wheel consisting of "Yes," "No," and "Maybe." How many different outcomes are possible in the 5 spins?

9. A real number x is defined to be a rational number providedthere exist integers m and n with n does not equal 0 such that x=m/n. A real number that is not a rational number is called anirrational number. It is known that if x is a positive rationalnumber, then there exist positive integers m and n with n does notequal 0 such that x= m/ n . Is

Crescent City, California, is in an area that is subject totsunamis. Its harbor was severely damaged by the tsunami caused bythe earthquake off the coast of Japan on March 11, 2011. Theprobability P (as a decimal) that no tsunami with waves of 15 feetor higher will strike Crescent City over a period of t years isgiven by the formula P = 0.99^t.

Exerc While walking around Super Mario World, you encounter some enemies. Enemies pop up oneatatime. You may assume that these encounters are independent. There are 4 potential enemies you may run into. Enemy Probability 0.5 0.3 Goombah Chargin Chuck 0.15 0.05 Boo a) Suppose you encounter 10 enemies What is the probability that at least 1 is a

In New York City at rush hour the chance that a taxicab passessomeone and is available is 15%. How many cabs can you expect topass you for you to find one that is free and what is thepropability that more than 10 cabs pass you before you find onethat is free. write the programs that you used on the calculator.

Suppose in the video game Harry Potter Returns, each time you kill a dragon there is a 10% chance you receive a Liquid Luck Potion. If 30,000 people have played Harry Potter Returns, and each has killed 100 dragons, what is the probability that at least one person has never received a Liquid Luck Potion?

1) What is the percentage of typists who type 60 wpm or fastergiven that typing speed is normally distributed with a mean of 45wpm and a standard deviation of 12 wpm? Remember, probabiitiesshould be written out to 4 decimal places. 2)IQ scores have an average of 100 with a standard deviation of15. What is the percentage of people who have an above

A is waiting for bus Q44 in Jamaica Station. The probability that the next bus is Q44 is 0.2. If the first three buses are not Q44, what is the probaibility that Q44 will come after the first 6 buses?

The UCSB parking management knows that 89% of parking ticketsare paid on-time. The fine, when paid on-time is $25. Overhalloween weekend, UCSB parking management issued 312 parkingtickets. a Find the mean and standard deviation of the number of theserockers that will be paid in-full and on time. b Find the mean and standard deviation of the amount

A refrigerated case holds 24 cans of soft drinks 6 cola, 6 root beer, 3 orange, 3 sparkling water, and 6 ginger ale. If one can is drawn at random, what is the probability of getting (a) a can of root beer (b) a can of cola or a can of ginger ale (c) a can that is neither cola, root beer, nor ginger ale If 2 cards are drawn from a wellshuffled

You choose to park your car in a metered parking spot where the cost of parking for 1 hour is 1.50. The cost of a parking ticket is 15. Historically, the local police only catch one out of every 12 parking violators in a given hour. You are trying to determine if its worth paying the meter or if youd be better off to not pay the meter and just

1. US phone numbers, excluding the country code, are composed of 10 digits (09). Compute the probability of the following events a. Receiving a random call and observing a number from Champaign (217) b. Receiving a random call and observing a number that starts with an 8 and ends in 34 c. Receiving a random call and observing a number where each

You work for the CDC and have been called in to consult about the appearance in Connecticut of a single zombie. It is known from studies of past zombie epidemics, that for this strain of the zombie virus, the probability that a zombie infects one human before the zombie is killed is P(1) a and the probability that a zombie infects two humans

Over the last 10 years, an average of 27 people per year have been struck and killed by lightning. It is estimated that only 10 of those who are struck are killed by lightning. Using the following information, answer these questions below. (Show all your work) Information US Population 326,100,000 people 10year average number of people being

A) Persons A, B and C plan to have a game night. They arrive independently of each other such that the probability of A arriving is 0.4, B 0.5 and C 0.3. Answers to three decimal places - What is the probability that the game night will be successful = at least two people will show up? -There are lights in the room, so at least someone has come.

A wins A B 0.6 C 0.4 0.9 B wins 0.4 C wins D wins 0.6 0.7 0.1 0.3 0.4 D 0.3 0.7 0.6

In a group of 75 students, 31 are enrolled in Maths, 33 in Business Studies and 49 in Computer Science. There are 10 enrolled in Maths and Business Studies, 16 enrolled in Maths and Computer Science, and 19 in Business Studies and Computer Science. There are 3 students who study none of these units. Find the number of students who are enrolled in

If a 1-gallon can of paint covers on the average 513.3 square feet with a standard deviation of 31.5 square feet, a. what is the probability that the sampling distribution covered by a sample of 40 of these 1-gallon cans will be anywhere from 510.0 to 520.0 square feet? b. If the mean of these samples turned out to be 500.0, do you believe these

The silver urn contains nine black balls and four brown balls. The golden urn contains five red balls, three yellow balls, and four blue balls If I choose a ball from the silver urn and a ball from the golden urn, what is the probability that I get a black ball and a yellow ball? Use 3 decimal

For a particular large group of people, blood types aredistributed as shown below. (Note that each person is classified ashaving exactly one of these blood types.) Blood Type O A B AB Probability 0.18 0.31 0.09 ? (b) If two people are selected at random, what is theprobability that both people selected will have type Oblood? (c) Maria has type B

Janet is planning to visit Arizona, New Mexico, and California on a 14-day vacation. If she plans to spend as much time in New Mexico as she does in the other two states combined, how can she allot her time in the three states? (Let x denote the number of days in Arizona, y the number of days in New Mexico, and z the number of days in California.

Greg has letter tiles that spell PLATINUM. if he selects 4 tiles at random, what is the probability that the tiles selected consist of 2 consonants and 2 vowels?

Five people are sitting at a table in a restaurant. Two of them order coffee and the other three order tea. The waiter forgot who ordered what and puts the drinks in a random order for the five persons. How many different outcomes are possible? and determine the probability that each person gets the correct drink .

The Apollo's Chariot is a rollercoaster at Busch Gardens with a top speed of 117 km/hr. Its initial (and tallest) descent can be modeled by h(t) = 52 - 4.912, where his in meters and i is in seconds. What is the maximum height reached by this ride? When does this occur?

According to an autograph association, only 6% of autographs in circulation from a certain band are estimated to be real. If there are 74 authentic autographs of the band in circulation, then how many nonauthentic autographs are there in circulation?

In Wisconsin, 30% pass the bar exam on their first try. Of those that take the exam a second time, 40% pass. If you're fresh out of law school, what is the probability of passing the bar within 2 tries?

A typical day is 24 hours = 1440 minutes = 86,400 seconds. What are the ODDS you will land on 7:15 either AM or PM (twicein a day)? b. What is the PROBABILITY you will land on 7:15 either AM or PM(twice in a day)?

Hogwarts has 4 houses (Gryffindor, Hufflepuff, Ravenclaw,Slytherin). We can represent them by their first letters G H R S.Each house has exactly 20 students. If I choose 5 studentsrandomly, what is the probability that I have students from only 2houses?

Tire P285/45R22 P275/50R22 Width 285 mm (11.22 inches) 275 mm (10.82 inches) Aspect Ratio % 45% 50% Sidewall Height in 5.05 in (5.04 inches) 5.41 in (5.41 inches) Diameter in 32.1 in (32.09 Inches) 32.82 in (32.82 inches) Circumference 100.85 (100.84 inches) 103.11 (103.12 inches) 1. How much further doesthe vehicle w/the larger wheel travel per

The average time on hold when calling technical support for an internet provider is customer will be kept on hold less than 4.0 minutes. 5.2 minutes. Find the probability that a ift 0 HINT use the PDF f(t) 0. else Your answer should be numeric, rounded to 3 decimal places, ex. 0.018

A standard die (plural is dice) is a cube with six sides numbered one through six. Each side has an equal chance of coming up. There are many games of chance that use one or more dice to generate random numbers.,2. For a single throw of a single die, what is the probability of a 3,For a single throw of a single die, what is the probability of a 1

Think of the situation of rolling two dice and let M denote the sum of the number of dots on the two dice. (So M is a number between 2 and 12.) a. In a table, list all the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions. (3 Marks) b. Calculate

In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she cant quite figure out, most people dont believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34

Telephone calls are being placed through an exchange at random times on an average of 12 calls per min. Assume the calls form a Poisson process. a) Determine the probability that there will be at most 3 calls in a 30-sec time period. b) Derive the moment-generating function for the waiting time for the first call. c) What is the probability that

Two teams, A and B, play in a series. In each game of the series, either Team A wins or Team B wins there are no ties. Team A has a 60 chance of winning each game, independent of other games. The series ends and a winner is declared when one of the teams has won two more games than the other team. (a) What is the expected number of games played

A DNA nucleotide has any of four values. A standard model for a mutational change of the nucleotide at a specific location is a Markov chain model that sup poses that in going from period to period the nucleotide does not change with probability 13a, and if it does change then it is equally likely to change to any of the other three values, for