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1. Consider an...

1. 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. 0.055

C. 1.14

D. 0.762

2. 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. 0.222

B. 0.0306

C. 0.06

D. 0.105

3. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers.

A. 0.0071

B. 0.0075

C. 0.1354

D. 0.9939

4. 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. 68.3%

B. 99.7%

C. 50%

D. 95.5%

5. 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. 28

C. 0

D. 22

6. 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. 0.2308

B. 0.0769

C. 0.25

D. 0.3

7. 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. 0.965

B. 0.049

C. 0.9895

D. 0.931

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

A. The mean is usually smaller than the variance.

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

C. The mean is usually larger than the variance.

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

Mark for review (Will be highlighted on the review page)

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

9. 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. 0.89

C. 0.67

D. 0.62

10. A continuous probability distribution represents 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.

11. 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 A would overlap event B.

B. Events A and B are exhaustive.

C. On a Venn diagram, event B would contain event A.

D. Events A and B are mutually exclusive.

2. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Let A be the event "shaggy and brown-haired." Compute P(Ac).

Brown-haired Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.49

B. 0.36

C. 0.51

D. 0.77

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

A. P(A) + P(B) – P(A and B).

B. P(A + B).

C. P(A) – P(B).

D. P(A) + P(B).

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

A. The time required to drive from Dallas to Denver

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

C. The weight of football players in the NFL

D. The average daily consumption of water in a household

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

A. 0.4778

B. 0.0222

C. 0.1179

D. 0.4821

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

A. 1.36

B. –0.94

C. 0.94

D. –1.36

17. The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4).

A. 0.03

B. 0.05

C. 0.02

D. 0.00

18. What is the value of (8 over 5) ?

A. 336

B. 1.6

C. 6720

D. 56

A. 0.238

B. 0.055

C. 1.14

D. 0.762

2. 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. 0.222

B. 0.0306

C. 0.06

D. 0.105

3. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers.

A. 0.0071

B. 0.0075

C. 0.1354

D. 0.9939

4. 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. 68.3%

B. 99.7%

C. 50%

D. 95.5%

5. 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. 28

C. 0

D. 22

6. 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. 0.2308

B. 0.0769

C. 0.25

D. 0.3

7. 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. 0.965

B. 0.049

C. 0.9895

D. 0.931

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

A. The mean is usually smaller than the variance.

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

C. The mean is usually larger than the variance.

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

Mark for review (Will be highlighted on the review page)

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

9. 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. 0.89

C. 0.67

D. 0.62

10. A continuous probability distribution represents 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.

11. 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 A would overlap event B.

B. Events A and B are exhaustive.

C. On a Venn diagram, event B would contain event A.

D. Events A and B are mutually exclusive.

2. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Let A be the event "shaggy and brown-haired." Compute P(Ac).

Brown-haired Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.49

B. 0.36

C. 0.51

D. 0.77

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

A. P(A) + P(B) – P(A and B).

B. P(A + B).

C. P(A) – P(B).

D. P(A) + P(B).

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

A. The time required to drive from Dallas to Denver

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

C. The weight of football players in the NFL

D. The average daily consumption of water in a household

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

A. 0.4778

B. 0.0222

C. 0.1179

D. 0.4821

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

A. 1.36

B. –0.94

C. 0.94

D. –1.36

17. The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4).

A. 0.03

B. 0.05

C. 0.02

D. 0.00

18. What is the value of (8 over 5) ?

A. 336

B. 1.6

C. 6720

D. 56

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