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Chapter 4 Quiz Solutions


Chapter 4 Quiz Solutions

1. The set of all possible outcomes of an experiment is
a. a sample point.
b. the population.
c. an event.
d. the sample space.
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Solution
Correct Response
d
2. A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses. Then, on the seventh trial
a. tail has a better chance of appearing than head.
b. head has a larger chance of appearing than tail.
c. tail can not appear.
d. tail has same chance of appearing as the head.
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Solution
Correct Response
d
3. If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are
a. non-mutually exclusive.
b. mutually exclusive.
c. complements of each other.
d. independent events.
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Solution
Correct Response
b
4. If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =
a. 0.169.
b. 0.400.
c. 0.390.
d. 0.650.
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Solution
Correct Response
b
5. Events A and B are mutually exclusive. Which of the following statements is also true?
a. P(A ∪ B) = P(A)P(B)
b. A and B are also independent.
c. P(A ∩ B) = P(A) + P(B)
d. P(A ∪ B) = P(A) + P(B)
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Solution
Correct Response
d
6. Which of the following statements is always true?
a. ∑P ≥ 1
b. -1 ≤ P(Ei) <≤ 1
c. P(A) + P(B) = 1
d. P(A) = 1 - P(Ac)
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Solution
Correct Response
d
7. If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =
a. 0.550.
b. 0.000.
c. 0.209.
d. 0.380.
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Solution
Correct Response
d
8. Six applications for admission to a local university are checked, and it is determined whether each applicant is male or female. How many sample points exist in the above experiment?
a. 16
b. 4
c. 32
d. 64
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Solution
Correct Response
d
9. Assume your favorite soccer team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is
a. 4.
b. 9.
c. 2.
d. 6.
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Solution
Correct Response
b
10. A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is
a. 729.
b. 30.
c. 100.
d. 1,000.
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Solution
Correct Response
d
11. The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the
a. counting rule for independent events.
b. counting rule for multiple-step experiments.
c. counting rule for permutations.
d. counting rule for combinations.
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Solution
Correct Response
d
12. If X and Y are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =
a. 1.0000.
b. 0.0000.
c. 0.6150.
d. 0.0944.
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Solution
Correct Response
b
13. A six-sided die is tossed 3 times. The probability of observing three ones in a row is
a. 1/27.
b. 3/6.
c. 1/216.
d. 1/6.
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Solution
Correct Response
c
14. Two events with nonzero probabilities
a. are always independent.
b. can not be both mutually exclusive and independent.
c. can be both mutually exclusive and independent.
d. are always mutually exclusive.
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Solution
Correct Response
b
15. From nine cards numbered 1 through 9, two cards are drawn. Consider the selection and classification of the cards as odd or even as an experiment. How many sample points are there for this experiment?
a. 9
b. 4
c. 3
d. 2
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Solution
Correct Response
b
16. A collection of sample points is
a. an intersection.
b. a permutation.
c. an event.
d. a union.
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Solution
Correct Response
c
17. Posterior probabilities are
a. simple probabilities.
b. conditional probabilities.
c. marginal probabilities.
d. joint probabilities.
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Solution
Correct Response
b
18. Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 4 customers and determining whether or not they purchase any merchandise. How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)
a. 16
b. 2
c. 12
d. 4
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Solution
Correct Response
a
19. An experiment consists of selecting a student body president and vice president. All undergraduate students (freshmen through seniors) are eligible for these offices. How many sample points (possible outcomes as to the classifications) exist?
a. 8
b. 4
c. 32
d. 16
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Solution
Correct Response
d
20. If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =
a. 0.62.
b. 0.55.
c. 0.07.
d. 0.48.


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