BUSINESS STATISTICS

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PROBABILITY

1.The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally

distributed. The standard deviation is 3.061. What is the probability that the Burger Bin will sell 12 to 18

burgers in an hour?

A.0.342

B.0.136

C.0.239

D.0.475

2.Let event A= rolling a 1 on a die, and let event B= rolling an even number on a die. Which of the

following is correct concerning these two events?

A.On a Venn diagram, event Awould overlap event B.

B.On a Venn diagram, event Bwould contain event A.

C.Events Aand Bare exhaustive.

D.Events Aand Bare mutually exclusive.

3.Which of the following is a discrete random variable?

A.The time required to drive from Dallas to Denver

B.The weight of football players in the NFL

C.The average daily consumption of water in a household

D.The number of three-point shots completed in a college basketball game

4.In the binomial probability distribution, pstands for the

A.probability of failure in any given trial.

B.probability of success in any given trial.

C.number of successes.

D.number of trials.

5.The area under the normal curve extending to the right from the midpoint to zis 0.17. Using the

standard normal table on the textbook’s back endsheet, identify the relevant zvalue.

A.0.44

B.0.0675

C.0.4554

D.–0.0675

6.Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January,

Kansas will experience exactly two tornadoes?

A.0.2087

B.0.2226

C.0.1304

D.0.4076

7.From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the

selected card is either an ace, a queen, or a three?

A.0.3

B.0.2308

C.0.25

D.0.0769

8.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 is the probability of three successes?

A.0.238

B.0.762

C.1.14

D.0.055

9.Approximately how much of the total area under the normal curve will be in the interval spanning 2

standard deviations on either side of the mean?

A.95.5%

B.68.3%

C.50%

D.99.7%

10.For each car entering the drive-through of a fast-food restaurant, x= the number of occupants. In this

study, xis a

A.dependent event.

B.continuous quantitative variable.

C.joint probability.

D.discrete random variable.

11.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.68.3%

B.15.9%

C.94.8%

D.47.8%

12.The possible values of xin a certain continuous probability distribution consist of the infinite number of

values between 1 and 20. Solve for P(x= 4).

A.0.05

B.0.02

C.0.03

D.0.00

13.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.0.246

B.0.817

C.0.377

D.0.171

14.Using the standard normal table in the textbook, determine the solution for P(0.00 ?z? 2.01).

A.0.4821

B.0.1179

C.0.0222

D.0.4778

15.A continuous probability distributionrepresents a random variable

A.having outcomes that occur in counting numbers.

B.that has a definite probability for the occurrence of a given integer.

C.that’s best described in a histogram.

D.having an infinite number of outcomes that may assume any number of values within an interval.

16.An apartment complex has two activating devices in each fire detector. One is smoke-activated and has

a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a

probability of .95 of operating when it should. Each activator operates independently of the other. Presume

a fire starts near a detector. What is the probability that both activating devices will work properly?

A.0.9895

B.0.049

C.0.965

D.0.931

17.The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are

normally distributed. If hourly sales fall between 24 and 42 burgers 49.85% of the time, the standard

deviation is _______ burgers.

A.18

End of exam

B.9

C.6

D.3

18.Find the z-score that determines that the area to the right of zis 0.8264.

A.0.94

B.1.36

C.–0.94

D.–1.36

19.Assume that an event Acontains 10 observations and event Bcontains 15 observations. If the

intersection of events Aand Bcontains exactly 3 observations, how many observations are in the union of

these two events?

A.0

B.22

C.28

D.10

20.The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having

both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or

both?

A.55%

B.67%

C.79%

D.91%

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