Compute how many ways can select n elements from n elements

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Question 1. A _______ of a population parameter is a rule that tells us how to use the sample data to calculate a single number that can be used as an estimate of the population parameter.

A. variance
B. error of estimation C. point estimator
D. mean

Question 2. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of the others. What's the probability of three successes?

A. 1.14 B. 0.762 C. 0.238 D. 0.055

Question 3. A random sample of 40 hotel reviews is drawn from a large population of hotel customers. It's known that 30% of the population left the hotel 1 star, 20% left 2 stars, 20% left 3 stars, and 30% left 4 stars. Give the hotel's average star rating.
A. 3 B. 3.5 C. 2 D. 2.5

Question 4. The area under the normal curve extending to the right from the midpoint to z is 0.17. Using the standard normal table on the textbook's back end sheet, identify the relevant z value.

A. 0.44
B. 0.0675 C. 0.255 D. -0.0675

Question 5. The Internal Revenue Service (IRS) audited 1,242,479 individual tax returns in the year 2013. A total of 145,236,429 individuals filed tax returns that year. Also in 2013, the IRS audited 25,905 corporate tax returns out of a total 1,924,887 filed. Assume that returns are selected for audits at random. What's the probability a randomly-selected corporate tax return is audited?

A. .0135 B. .9865 C. .9914 D. .0086

Question 6. A candy company makes sweets in six different flavors. According to the company, each flavor is manufactured at a different rate based on customer preference. The table shows the total percentage of the company's candy production in each flavor. If you choose a candy from the factor's production line at random, what's the probability that it's either cherry, grape, or lemon flavored?

A. .76 B. .566 C. .99 D. .43

Question 7. Compute how many ways you can select n elements from N elements when n = 5 and N = 20.

A. 775
B. 15,504
C. 100
D. 225

Question 8. Consider the Venn diagram shown, which contains five sample points. The probabilities assigned to each sample are as follows:
P(E1) = .20, P(E2) = .30, P(E3) = .30, P(E4) = .10, P(E5) = .10
Find P(B)

A. .3
B. .5
C. 0
D. .7

Question 9. Assume you have a data set with a largest value of 760 and a smallest value of 135. Which of the following represents the best estimate for the standard deviation of this data set?

A. Between R/6 = 104.17 and R/4 = 106.25. B. Between R/6 = 104.17 and R/4 = 156.25. C. Between R/6 = 104.17 and R/4 = 146.25. D. Between R/6 = 105.22 and R/4 = 156.25.

Question 10. The Burger Bin sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 3.061. What's the probability that the Burger Bin will sell 12 to 18 burgers in an hour?

A. 0.342 B. 0.136 C. 0.023 D. 0.475

Question 11. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)

A. 2.2% B. 4.2% C. 0.3% D. 4.5%

Question 12. A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 27 or more purchases in this study?

A. 94.8% B. 47.8% C. 68.3% D. 15.9%

Question 13. If x is a binomial random variable, find p(x) when n = 4, x = 2, and q = .4

A. .3456
B. .644
C. .1611
D. .027

Question 14. In the binomial probability distribution, p stands for the

A. number of trials.
B. number of successes.
C. probability of success in any given trial.
D. probability of failure in any given trial.

Question 15. If event A and event B are mutually exclusive, P(A or B) =

A. P(A) + P(B).
B. P(A + B).
C. P(A) - P(B).
D. P(A) + P(B) - P(A and B).

Question 16. A gadget has three temperature options (Low, Medium, and High) and two power settings (On and Off). You conduct an experiment where you observe the status of the machine throughout its day-to-day use, and the probabilities associated with each of the possible outcome pairs is shown. Consider the following events:
A: {On}
B: {Medium or On} C: {Off and Low} D: {High}
Find P(B)

A. .72
B. .6
C. .65
D. .5

Question 17. If x is a binomial random variable, find p(x) when n = <5, x = 1, and p = .2

A. .027
B. .644
C. .4096
D. .1611

Question 18. Each football game begins with a coin toss in the presence of the captains from the two opposing teams. (The winner of the toss has the choice of goals or of kicking or receiving the first kickoff.) A particular football team is scheduled to play 10 games this season. Let x = the number of coin tosses that the team captain wins during the season. Using the appropriate table in your textbook, solve for P(4 ≤ x ≤ 8).

A. 0.759 B. 0.191 C. 0.815 D. 0.817

Question 19. To determine whether a piece of factory equipment is working properly, the floor manager performs a test run of 25 units. Each unit is measured, and the factory worker finds that the standard deviation in the measurements over a long period of time is .001. What's the approximate probability that the mean measurement of the units from the test run will lie within .0001 of the mean unit measurement?

A. .3953 B. .3830 C. .3542 D. .2750

Question 20. According to driver safety statistics in a particular area, one percent of drivers reported that they never wear their seatbelts. If five drivers in the area were randomly selected, what's the probability that one would not be wearing a seatbelt?

A. .052 B. .001 C. .8116 D. .048

Reference no: EM132463268

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