Questions are in the field of Statistics for business set 2

 

1. Using the standard normal table on page 822 of the textbook, determine the solution for P
(0.00 ≤
z ≤

2.01).

A. 0.1

179

B. 0.4778

C. 0

.0222

D. 0.4821

 

2. 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. 99.7%

B. 6

8.3%

C. 9

5.5%

D. 50%

 

3. A continuous probability distribution represents a random variable

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

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

C. that’s best described in a histogram.

D. having outcomes that occur in counting numbers.

 

4. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Given that an animal is brown-haired, what is the probability that it’s short-haired?

Brown-haired Blond

Short-haired 0.06
0.23

Shaggy 0.51 0.20

A. 0.105

B. 0.222

C. 0.0306

D. 0.06

 

5. 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. 0.136

B. 0.475

C. 0.3

42

D. 0.239

   

6. A basketball team at a university is composed of ten players. The team is made up of players who play the position of either guard, forward, or center. Four of the ten are guards, four are forwards, and two are centers. The numbers that the players wear on their shirts are 1, 2, 3, and 4 for the guards; 5, 6, 7, and 8 for the forwards; and 9 and 10 for the centers. The starting five are numbered 1, 3, 5, 7, and 9. Let a player be selected at random from the ten. The events are defined as follows:

Let A be the event that the player selected has a number from 1 to 8.

Let B be the event that the player selected is a guard.

Let C be the event that the player selected is a forward.

Let D be the event that the player selected is a starter.

Let E be the event that the player selected is a center.

Calculate P(C).

A. 0.80

B. 0.50

C. 0.20

D. 0.40

 

7. If the probability that an event will happen is 0.3, what is the probability of the event’s complement?

A. 0.1

B. 1.0

C. 0.3

D. 0.7

 

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

A. P(A) – P(B).

B. P(A) + P(B) – P(A and B).

C. P(A) + P(B).

D. P(A + B).

 

9. Find the z-score that determines that the area to the right of z is 0.8264.

A. –0.94

B. 0.94

C. 1.36

D. –1.36

 

10. 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. 0.377

B. 0.171

C. 0.246

D. 0.817

  

11. Which of the following is correct concerning the Poisson distribution?

A. Each event being studied must be statistically dependent on the previous event.

B. The mean is usually larger than the variance.

C. The mean is usually smaller than the variance.

D. The event being studied is restricted to a given span of time, space, or distance.

 

12. 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. 0.762

B. 0.238

C. 1.14

D. 0.055

 

13. Assume that an event A contains 10 observations and event B contains 15 observations. If the

intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events?

A. 10

B. 22

C. 0

D. 28

 

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

A. dependent event.

B. continuous quantitative variable.

C. discrete random variable.

D. joint probability.

 

Protestant Catholic Jewish Other

Democrat 0.35
0.10 0.03 0.02

Republican 0.27 0.09 0.02 0.01

Independent 0.05 0.03 0.02 0.01

15. The table above gives the probabilities of combinations of religion and political parties in a city in the United States. What is the probability that a randomly selected person will be a Protestant and at the same time be a Democrat or a Republican?

A. 0.35

B. 0.62

C. 0.67

D. 0.89

 

16. 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. 0.0769

B. 0.2308

C. 0.3

D. 0.25

17. 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. 67%

B. 91%

C. 55%

D. 79%

 

18.
Which of the following is a discrete random variable?

A. The average daily consumption of water in a household

B. The weight of football players in the NFL

C. The time required to drive from Dallas to Denver

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

 

19. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January, Kansas will experience exactly two tornadoes?

A. 0.4076

B. 0.1304

C. 0.2226

D. 0.2087

 

20. 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. 3

B. 6C. 9

D. 18.