Statistics Questions and Answers May 30, 2018

EXERCISE 1 Delta Mountain Supplies has been in business for three months. The company was formed by two outdoor enthusiasts to produce high quality sleeping bags, which can used in all kinds of weather conditions. The owners of the company were well skilled in production and had developed an excellent relationship with a boutique store that

9. The box plot below shows the amount spent for books and supplies per year by students at fouryear public colleges 1,750 1,400 1,050 700 415 350 0 a. Estimate the median amount spent. b. Estimate the first and third quartiles for the amount spent. c. Estimate the interquartile range for the amount spent. d. Beyond what point is a value

9. The box plot below shows the amount spent for books and supplies per year by students at fouryear public colleges 1,750 1,400 1,050 700 350 a. Estimate the median amount spent. b. Estimate the first and third quartiles for the amount spent. c. Estimate the interquartile range for the amount spent. d. Beyond what point is a value considered an

9. The box plot below shows the amount spent for books and supplies per year by students at fouryear public colleges 1,750 1,400 1,050 700 415 350 0 a. Estimate the median amount spent. b. Estimate the first and third quartiles for the amount spent. c. Estimate the interquartile range for the amount spent. d. Beyond what point is a value

.comilmtakeAssignmenttakeAssignmentMain.doinvokerassignmentstakeAssignmentSessionLocatorassign... A A c. A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows P(FIS)0.10 P(U 51) 0.90 P(FS2)0.40 P(U S2)0.60 P(U

calculate P - values of each coef need the formula

Log gas Post Coef. 19737 damay after loggasp log gasppost1.854321 cons XXNX Std. Err. t 5.76518 0.3765519 15.31 1.967916 0.1191667 16.51 0.1228435 15.09 18.33233 0.3545327 51.71 Pt 95 Conf. Interval 5.008071 6.522288 1.728315 2.207517 2.101314 1.607328 19.04517 17.6195

A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce

An experiment was conducted to determine if the weight of an animal can be predicted after a given period of time on the basis of the initial weight of the animal and the amount of feed that was eaten. The following data, measured in kilograms, were recorded: Final Weight 95 77 80 100 97 70 50 80 92 84 Initial

A vitamin K shot is given to infants soon after birth. Nurses at a hospital were involved in a study to see if how they handle the infants could reduce the pain the infants feel. One of the measurements taken was how long, in seconds, the infant cried after being given the shot. A random sample was taken from the group that was given the shot

Im genuinely trying, Im working on number 2; summarizing whether the assumption was met/ testing the assumption. Ive googled and found so many different things that at this point idk what Im doing ; plz help

809 Data Analysis Report Data Analysis Plan The four variables used in this analysis are Quiz One (number of correct answers on quiz), GPA (grade point average), Total (total number of points earned in class), and Final (number of correct answers on final exam). Variables can be defined as either categorical or continuous. Quiz one and Final can

This table (cross classification),having two variable alcohol consumption(ordinal variable) and malformation (scale variable). For ordinal variable the scores is (0,0.5,1.5,4,7) Table 2.6 Infant malformation and mothers alcohol consumption.. Alcohol Malformation Percentage Standardized Consumption Absent Present Total Present Residual 0 17,066 48

Bulloch County has never allowed liquor to be sold in restaurants. However, in 3 months, county residents are scheduled to vote on a referendum to allow liquor to be sold by the drink. Currently, polls indicate there is a 60% chance that the referendum will be passed by voters. Phil Jackson is a local real estate speculator who is eyeing a closed

Find the missing frequencies in the following incomplete distribution when median and mode are 27 and 26 respectively. Class 0--10 10--20 20--30 30--40 40--50 Frequency 3 f2 20 12 f5 Then, calculate the following and interpret your results. a. Coefficient of variation b. Interquartile range and coefficient of range c. Mean absolute deviation about

The rigid bar ABCD is supported by a pin at B and restrained by identical steel bars at C and D. Determine the forces in the bars caused by the vertical load P that is applied at A.

A P 3 m 0.8 m 0.6 m B Co D

Bagan batang dan daun berikut melaporkan jumlah film yang disewa per hari di Video Connection di sudut Jalan Keempat dan Jalan Utama. A. Berapa hari dipelajari? B. Berapa banyak observasi pada kelas terakhir? C. Berapakah nilai maksimum dan minimum pada keseluruhan kumpulan data? D. Cantumkan nilai sebenarnya di baris keempat. e. Cantumkan nilai

2. The null and alternate hypotheses are Ho0 Hd0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 Day shift 10 12 15 19 Afternoon shift 8 9 12 15 At the .05 significance level, can we conclude there are more defects produced on the

From the Group data above, try to make and find the following: a. Class b. Class Interval c. Class Frequency d. Class Relative Frequency and Class Cumulative e. Mean, Median, and Mode f. Sample Variation and Sample Standard Deviation g. And Interpret the Standard Deviation?

404 74 234 149 279 215 123 55 43 321 87 234 68 489 57 185 141 758 72 863 703 125 350 440 37 252 27 521 302 127 968 712 503 4880 489 327 608 358 425 303 203

The Television Bureau of Advertising publishes information on television ownership in Trends in Television. The Table below gives the number of TV sets per household for 50 randomly selected households. Organize these data into frequency and relativefrequency distributions. Then construct a frequency histogram.

A y H C y B 0.9 m D X F 60 N 60 N E 0.9 m 0.9 m 0.9 m 0.9 m

Fig 7-2 refers. Based on the One Sample Test table, there is enough evidence that the capacity packed significantly defers from the set standard.true or false

1. At a fictional high school Statistics High, afterschool activities can be classified into three types athletes, fine arts, and other. The table gives the number of students participating in each of these types of activities by grade. For the purpose of this example, we will assume that any given student is in exactly one of these afterschool

A committee of 7 is to be randomly selected from 8 Biologists, 5 Chemists and 2 Mathematicians. What is the probability that you will have 4 Biologists on the committee

A small hair dresser shop operates with three hair stylists. It has two waiting seats so that when new customers arrive and all stylists are busy and there is no vacant seat, they leave. The state space S of this birthanddeath process is S0,1,2,3,4,5). where S indicates the number of customers either waiting or having the ongoing service. When 1 k

My home uses two light bulbs. On average, a light bulb last for 22 days (expo nentially distributed). When a light bulb burns out, it takes and average of 2 days (exponentially distributed) before I replace the bulb. (a) Formulate a threestate birth and death process of this situation. (b) Determine the fraction of the tme that both light bulbs

(a) During lunch hour, arrivals of customers at a pizza hut restaurant follows a Poisson process with the rate of 120 customers per hour. The restaurant has one line, with three workers taking food orders at independent services stations. Each worker takes an exponen tially distributed amount of timeon average 1 minuteto serve a customer. Let X

McDonalds produces and makes available to customers a document entitled A Full Serving of Nutrition Facts that contains ingredient lists of all the items they sell, along with nutrition facts. The information below comes from the fact sheet last revised in August 2005. Arandom sample of 8 breakfast items is randomly selected from the list of all

Offerman et al. conducted an experiment on pigs to investigate the effect of an antivenom after an injection of rattlesnake venom. In one aspect of the study, the researchers investigated the change in volume of the right hind leg before and after being subjected to a dose of venom and treatment with an antivenom. The volume of the right hind leg

On average, five persons visit the University of Maryland Health Center for COVID19 testing every hour. Determine the probability the next person to visit the Heath Center for COVID19 testing arrives in between 27 minutes and 45 minutes

Suppose a giant human grows each year a random amount whose average is 49cm and whose standard deviation is 30cm. If the amount grown each year is independent of every other year, what's the distribution, approximately, of their height after 100 years (starting from height 0cm)? Say we have a bunch of 100 year old giants that all have the same

Employees who are envious of their fellow workers often exhibit a decline in job performance. Research published in the Academy of Management Journal (August 2019) investigated whether workplace envy can also have positive outcomes (e.g.. learning andor advice seeking from the envied employee). Data were collected for 52 sales employees of a cos

6. X U (0,1) and YX 2 xV (x, 1) a) write down joint pdf fx,y (x,y) b) find marginal pdf fy (y) c) compute PLY 20.5)

Virginia has six schools on this list, and North Carolina has 5. A researcher hypothesizes that the colleges in Virgiilia and North Carolina have high four-year graduation rates. This project addresses these hypothesis by asking the following questions: (1) Is the average 4-year graduation rate for the Virginia colleges in the top 100 public

You are use the top 100 public college 2003 data set for these project this data set is found in the module taba in canvas, Virginia has six schools on this list, and North Carolina has 5. A researcher hypothesizes that the colleges in Virgiilia and North Carolina have high four-year graduation rates. This project addresses these hypothesis by

Learn on the go Open in appSkip to main content EN-GB SECTION IPerform an appropriate hypothesis test for these three questions using =.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and either the rejection region and critical value or p-value depending on the

A time series of n 100 observations gave the following sample ACF and sample PACF, Lag 1 2 3 4 5 9 7 8 k Tk 0.22 0.68 0.47 0.34 0.56 0.01 0.51 0.26 4kk 0.22 0.76 0.09 0.05 0.09 0.04 0.11 0.11 with the sample mean Z 10.04 and sample variance fo 2.77. An AR(2) model, (1pB2B)Z 8 a,, appears to be appropriate for the data. a) Obtain the YuleWalker

Define the random variable x(t) A cos(t) where A is a Gaussian random variable with zero mean and variance A (a) Find the density function of X(0) and X(1). (b) Is X(t) stationary in any sense

a. Perform an appropriate hypothesis test your question using a=.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and either the rejection region and critical value or p-value depending on the method you choose to use. State the result of your test in a complete

Jesus is Lord: You are to use the below Top 100 public Colleges 2003 Data Set for this project. Top 100 Public Colleges - 2003 In-State In-State Out-of- State Rank Rank 2003 2002 Rank 2003 School State Enrollment *SAT or ACT Student/F Admission Rate aculty Ratio 4-year Grad. Rate 6-year Grad Rate In-State Total Costs In-State Total Out- Costs

The Soft Drink Bottling Problem A soft drink bottler is interested in obtaining more uniform fill heights in the bottles produced by his manufactured process. The filling machine theoretically fills each bottle to the correct target height, but in practice, there is variation around this target, and the bottler would like to understand the sources

Healthcare professionals needs to compare their standards with international providers who have been recognized tom offer the best care. Outline the procedure involved in the comparison and its advantages.

Suppose that an epidemiologist is asked to investigate the possible hazard from an inadequate air filtration system in a large school building in a poor urban neighborhood. The particular concern involves children with asthma, 400 of whom attend the school (school A). The epidemiologist is informed that on a particular day, 12 children suffered an

The exponentiallogarithmic (EL) distribution is defined by two parameters p (0,1) and 0 with the following cumulative distribution function F(x)1In(1(1p)eBx) In(p) for x 0 a. Suppose process time follows the EL distribution with p 0.1 and 1 per min. What is the probability that process time is less than 30 seconds b. What is the quantile

1. Consider the simple birth and death process with birth and death rates defined by , for i 0, 1, 2,... Suppose X(0) n. (a) Use the forward Kolmogorov equations for the general birthdeath model to write down differential equations for pk (t) Pr(X(t) k X(0) n), k 0, 1, 2, . . .. (b) Show that the probability generating function G(s)

An experiment was performed to assess the effects of a change in the manufacturing procedure on the average potency of a tablet product. A new batch of antibiotic tablets was made with a modification of the usual manufacturing procedure. Twelve tablets were assayed and the results are shown in the table below. Test, at the 90% level of confidence,

Samples of a drug product are stored in their original containers under normal conditions and sampled periodically to analyse the content of the medication. The following results are obtained. time months x 6 12 18 24 36 48 assay (mg) y 987 967 941 920 896 870 (i) Assuming a linear relationship exists between the two variables find the regression

Analysis of the amniotic fluid from a random sample of 15 pregnant women yielded the following measurements on total protein (grams per 100 ml) present: 0.69 1.04 0.39 0.37 0.64 1.04 0.83 1.00 0.19 0.61 0.42 0.20 0.79 0.73 0.69 (i) Do these data provide sufficient evidence to indicate that the population variance is greater than 0.05. Let = 0.05.

Independent random samples from two strains of mice used in an experiment yielded the following measurements on plasma glucose levels following a traumatic experience: Strain A 54 99 105 46 70 87 55 58 139 91 Strain B 93 91 93 150 80 104 128 83 95 94 97 Do these data provide sufficient evidence to indicate that the variance is larger in the

The current method for treating acute myeloblastic leukemia is to give the patient intensive chemotherapy at the time of diagnosis. Historically this has resulted in a 70% remission rate. In studying a new method of treatment, 50 volunteers are used. How many patients would have to go into remission for researchers to claim, at the a = 0.05 level,

www 6. Linus Ullmark of the Boston Bruins had the best save percentage of a goalie in the 20222023 season. We take this to mean, loosely, that Ullmark has a 93.8 chance of making a save when a puck is shot at his goal. In a practice in the 20232024 season, a fellow Bruin makes 20 shots on Ullmark. a) What is the probability that Ullmark will make

Suppose that the weekly average expenditure of a student in your college is 150 with a variance of 81. (a) Suppose you draw a sample of 100 students. Compute the probability that the sample mean is less than 147. (b) Suppose now that you draw a sample of 36 students. Compute the probability that the sample mean is less that 147. Why is this result

Analyze the attached Data in the link below , and comment on ways that the data could be manipulated and transformed with deep reflection. https://1drv.ms/x/c/09d6c2cabe828717/EYoxbbDii-JFmBidKFEQ5a8Bxh8IFYtrcutfzWFrBoa5vw?e=foKJ1g

t 0 1 2 3 4 6 7 h(t) 6 0 1 7 2 3 5 4 10. Use the table below to fill in the missing values. a. Find h(6) b. Solve h(t) 0 c. Find h (5) d. Solve h (t)1 89

(a) There is a probability of 0.2 that a toy punched by a trainee operator will contain an error. Find the probability that a random sample of 4 toys punched by a trainee operator will contain just 1 errorfree toy. 5 marks (b) There is a probability of 0.05 that a toy punched by an experienced operator will contain an error. Find the probability

1. A bat and a ball cost 1.10 in total. The bat costs 1 more than the ball. How much does the ball cost 2. If it takes five machines five minutes to make five widgets, how long would it take 100 machines to make 100 widgets 3. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover

Find (AB) and BTAT where 30 A 41 1 2 and B 3 1 1 0 3 10 42 Find A3 if A 2 1 1 3 01

The following table provides daily returns for a given investment. Return Day 1 0.1800 2 0.1957 3 0.2107 4 0.2200 5 0.2221 a. For the above returns, calculate the (3 points each) i. Average daily return ii. Standard deviation of the daily returns b. Annualize the average return and standard deviation of returns from a. (6 points) C. Based on the

find the mean and standard deviation of the sample of housefly wing lengths list all the data values that are within 2 standard deviations of the mean. justify how you obtained those data values. what percentage of the data values are within 2 standard deviations of the mean? show work for the calculation. is this consistent with the empirical rule

In 1955, scientists R.R. Sokal and P.E. Hunter analyzed the affects of pesticides on houseflies. Among the data sets they collected were samples of housefly wing lengths. These are normally distributed. The data they collected is summarized in the following frequency distribution. Normally Distributed Housefly Wing Lengths length (x.1mm) frequency

Question Multilocus heterozygosity (MLH) is reflective of genetic quality; according to sexual selection research, it is thought that sexual ornamentation functions as a visual indicator of fitness. By selecting males with features such as bright coloration, females can improve the chances of reproductive success. Male guppies are covered in a

0.20 0.10 0,15 0.10 0.05 02 0.3 0.4 0.5 0.6 0.7 0.8 MLH 0.05 0.00 0.05 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Orange Area 0.10 0.05 0.00 0.05 QQ Plot of Residuals T 1 0 1 2 Theoretical Quantiles

Two friends are designing a game called Toss The Cup. The game is played between two players. To play the game, a paper or plastic cup is needed. To start the game, the cup is tossed in the air. If the cup lands on its bottom, Player 1 wins a point. If the cup lands on its top, Player 2 wins a point. If the cup lands on its side, neither player

(a) The table below summarises the frequency distribution for the life (in hours) of light bulbs. 610619 620629 630639 640649 Life, (hours) Frequency, (f). 27 50 90 33 (i) Find an estimate for the MEAN for the data. (ii) Find an estimate for the STANDARD DEVIATION for the data. For part (a) of the question, write your answers to 3 decimal places.

A review of the personnel records of a small corporation has revealed the following information about the number of sick days taken per year and the corresponding probabilities. A probability distribution for the number of sick days was constructed and is illustrated in table 2. Table 2. Number of sick days Probability 0 2 3 4 5 0.05 0.20 0.36

A door manufacturer knows that the height of its doors, X, has a normal distribution with mean 80.0 inches and standard deviation 0.2 inches. X M 80.0, 0.2) (a) Make a graph that depicts the empirical rule for X. (b) Use the empirical rule to find the probability that a randomly selected door has the height between 80.4 and 80.6 inches Only

Using a standard sixsided die, Janice rolled either a 2 or a 5on the last 6 rolls of the die. What is the probability of Janice rolling a 2or a 5 on her 7th toss of the die

D 0

LOTR (1p) Frodo and Sam need to get to Mordor to destroy the One Ring, but they dont know the exact way. They met a creature called Gollum who claims to know the best way to Mordor. Gollum is obviously drawn to the One Ring and wants it for himself, but there is still a chance he is harmless and will lead Frodo and Sam safely to Mordor. If Frodo

A measurement is only as good as the measuring device used. For example, a dollar bill is about 6 inches long. I could use this to measure the line and probably obtain a value within 2 inches of the correct length. However, if I used a ruler that is marked to each 18 of an inch, I could measure within 116 of an inch of the correct length. The

You are in the gym doing some standing curls (i.e. stand straight up, put your elbows at your side, and lift a weight by rotating your forearms about your elbows up and down) with a 20lb. (88.96N) weight. Your goal is to find the position such that holding the dumbbell in place puts the most strain (i.e., force) on your bicep. (Hint: Your bicep

10. Rappers use rhyme schemes to describe which lines of a rap rhyme. The rhyme at the end of each line is denoted by a letter of the alphabet, with the same letter given to two lines that rhyme. For example, to say that a rap has the rhyming scheme ABABCDED, indicates that the first and the third lines rhyme, the second and the fourth lines

Let us define a new quantity k (x, x) P(Xk x, Xk1 x Y,..., Yt, ) to be the probability of being at a state x at time k and then moving to state x at time k 1, conditional upon all the observations we have received from our HMM. Show that k (x, x) k (x)T nk(x)Tx,x Mx x,x Mx,Yk1 Bk1(x) where n is a normalizing constant that makes x,x (k(x, x)

A) Proove that f p?RHS (Right hand side) of H and q?LHS (Lefthand side) of H. Then any continous path from p to q must gothrough H. (H separates Rn into different regions.) B)Show that s = {(x1, ...xn | a1x1 + a2x2 + anxn = d}. C) Show that H = {(x1, ....xn) | a1x1 + a2x2 + anxn = d}. a isn\'t the same value as x D) Show that the line L thru p and

A client weighing 188 lbs. is prescribed eptifibatide (Integrilin) 2 mcg/kg/min. The medication available is 2 mg/mL. How many mL of the medication will the client receive in an hour? If necessary round the answer to the nearest tenth.

This question involves hypothesis testing. The following numbers will help you answer these questions. The random variable Z N(0, 1) is standard normal. P(Z 1.28).1 P(Z1.65) .05 P(Z1.96) .025 P(Z 2.33) .01. P(Z 2.58) .005. An equivalent way of representing this, using the notation in class, is 9111.28 9101 2.33 9105 1.65 91005 2.58 91025 1.96 An

A map website claims to be available 99.995 of the time (measured in minute long increments). Suppose that we took random samples of n 1000 minutes from the population of minutes in a year and computed the proportion of minutes in each sample for which the website was available. We can assume the websites claim is accurate. What will be the shape

Anand knows from experience that if he does not review a new vocabulary word that he has learned, that he has a 70 chance of forgetting it each day. Let D be the number of days Anand goes without reviewing a word until he forgets it. Find the probability that it takes Anand 4 or more days to forget the word. You may round your answer to the

Entry level salary data was collected on a small sample of graduates who earned degrees in psychology and biology. Psychology Biology 30,000 30,000 36,000 30,000 40,000 40,000 42,000 42,000 152,000 52,000 1. Calculate the mean, median, and mode for both groups. (3 pts) 2. If you wanted to persuade someone that they should definitely pursue a

A manfred County Psychologist is researching a possible relationship between abuse received as a child and later adult drinking habits. She interviewed a random sample of County adults and asked each what level of parental abuse (none, iffequent or often) he/she received as a child and what his/her drinking habit is (none, light, moderate or

Observed data. Drinking Habits Child Abuse None Light Moderate Heavy None 51 38 37 14 Infrequent 28 42 11 10 Often 27 40 12 46

19. Each student in a random sample of seniors at a local high school participated in a survey These students were asked to indicate their gender and their eye color. The following table summarizes the results of the survey. Eye color Be Brown Green Total Male 50 40 200 110 Gender Female Total 40 401 TO 90 90 BO 30 200 a. Suppose that one of these

The sample space for tossing three fair coins is (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). What is the probability of exactly two heads (Write your answer as a reduced fraction.)

been called Recently, s asked to hington, ent of the in areas g costs, and panys a simple 12. The TruGreen Lawn Company provides yard care services for customers throughout the Denver area. The company owner recently tracked the time his field employees spent at a sample of customer locations. He was hoping to use these data to help him with his

16. Santa Claus believes that some of the elves are trying to sabotage Christmas by deliberately putting fewer candies in the bags he leaves in childrens,stockings (the elves are angry because they havent been allowed to take a vacation on Xmas Eve for 500 years). Typically, the number of candies per bag has been normally distributed with a mean

In a recent poll, 50 teenagers were asked do they exercise regularly. 35 of them said they do exercise regularly. 9. What is the random variable 10. What is the probability that 35 teenagers said yes 11. What is the probability that 20 teenagers said yes 12. What is the probability that between 16 and 19 teenagers said yes,Binomial Probability

Construct the probability distribution and calculate the expected value for the given scenario. Show all of your work and round your answers to the nearest hundredth, if needed. Then summarize your answer in the context of the problem. A sample of GOC students were surveyed and asked, How many others were in the car with you when you came to

A political scientist hypothesized that persons from the US Midwest are more politically conservative than those from either coast. A total of 15 participants were randomly selected to participate in a study testing this hypothesis- 5 from the east, 5 from the west, and 5 from the Midwest. Participants completed a questionnaire measuring

7. (2 points each) In a certain town, 78 of the population favors a warrant article reducing the 100 ft setback to 50 ft. A random sample of 40 people in the population are surveyed. a. Determine the probability that at least 22 favor the policy. b. Determine the probability that at most 20 favor the policy. c. Determine the probability that more

Worksheet TOTAL Start writing here 100 100 A common complaint among toddlers is headache. Pediatricians categorize headaches as being of two kinds migraine and nonmigraine. Correct diagnosis is important because the treatments are different for the two types of headache. Diagnosis of headaches is difficult with toddlers because a child is often

(2 points each) The grade range of students enrolled in statistics at a certain college is 40 to 98 percent. The mean is 81.5 percent with a standard deviation of 17. A sample of 30 students is taken from the population. a. Determine the probability that a randomly selected student has a grade less than 70. b. Determine the probability that a

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. SAT Critical Reading Scores 200,Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160

19. In a five card hand, what is the possible number of odd number cards Show the probability distribution and calculate the expected number of odd numbered cards.

2. A recent survey of a gasstations customers showed that 68 paid with credit cards, 29 used debit cards, and only 3 paid with cash. During her eighthour shift as cashier at this gas station, Serena had a total of 223 customer. What is the probability that... a. at least 142 customers used a credit card b. fewer than 220 customers paid with credit

A group of patients volunteered to be part of a clinical trial for a vaccine. That group consists of 68 patients who experienced muscle aches, 23 patients who experienced headaches, 12 patients who experienced swelling at the injection site, and 561 patients who did not experience any side effects. Find the probability that a patient experienced

A board game gives you 4 colors to choose from blue, red, white, and yellow. To start the game, your opponent chooses 4 colored game pieces and puts them in any order they wish. Colors are allowed to repeat. For example, your opponent could choose the order redwhiteredblue. To win, you must guess the colors in the correct order. What is the

A pizza place advertises that they have 2 types of crust (round, square) and 5 toppings (pepperoni, sausage, bacon, green peppers, mushrooms). You call and order a pizza with 1 topping and tell the pizza maker to surprise you. What is the probability you are made a round pizza with bacon Leave as a fraction.,Determine whether a combination or

You are on a game show where you are shown a card from a standard 52card deck. Your job is to guess if the next card will be higher or lower than your card. Ace (A) is considered the lowest and King (K) is the highest. Find the probability you select a card higher than a 7. Leave as a fraction and reduce. that 24 24 3 m 444 4 34 44 44 54 7 59 5C

A quiz consists of 2 multiplechoice questions with 3 answer choices and 3 truefalse questions. If you randomly guess, what is the probability that you will get all questions correct

A soccer player takes a total of three penalty kicks from the penalty line and the outcome is noted each time as a goal (G) or a miss (M). Use a tree diagram to list the sample space for this experiment. /2 a) What is the probability that the player has more goals than misses ? /1 b) What is the probability that the player has exactly one miss ? /1

A group of three boys and five girls are going to a Spirit Day football party. What is the probability that any of the three boys will arrive first, and Sarah, who seems to be running late will arrive last?

You select four fruits at random from a pile with half grape bunches and half banana bunches. If X is the number of grape bunches that appear, what is the mean of the probability distribution

C5 Q2 V1 A quiz consists of 10 truefalse questions. You have a 55 chance of getting the answer correct on each question. Find the probability that you get 7 or 8 questions correct.

DNA sequences are made up of 4 nucleotides A, C, G and T. In reality, they are not equally likely to arise and are not independent; however, to start let's pretend they are. (a) Assuming that each base appears with equal frequency, what is the probability of finding the sequence ACTAGATTAC in that order? (b) Assuming that each base appears with

38. The distribution of SAT scores in math for an incom ing class of business students has a mean of 610 and standard deviation of 20. Assume that the scores are normally distributed. I a. Find the probability that an individuals SAT score is less than 500. b. Find the probability that an individuals SAT score is between 590 and 620. c. Find the