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D. 0.18
E. 0.82 1273 Chapter 01  An Introduction to Business Statistics 139. At a certain university, 30% of the students major in zoology. Of the students majoring
in zoology, 60% are males. Of all the students at the university, 70% are males.
What proportions of the males are majoring in zoology?
A. .26
B. .18
C. .21
D. .86
E. .60 140. At a certain university, 30% of the students major in zoology. Of the students majoring
in zoology, 60% are males. Of all the students at the university, 70% are males.
Are the events "male" and "majoring in zoology" independent?
A. Yes, independent
B. No, not independent 141. An advertising campaign is being developed to promote a new bookstore opening in the
newest mall development. To develop an appropriate mailing list it has been decided to
purchase lists of credit card holders from MasterCard and American Express. Combining the
lists they find the following: 40% of the people on the list have only a MasterCard and 10%
have only an American Express card. Another 20% hold both MasterCard and American
Express. Finally, 30% of those on the list have neither card. Suppose a person on the list is
known to have a MasterCard. What is the probability that person also has an American
Express Card?
A. .20
B. .33
C. .18
D. .70
E. .90 142. Consider a standard deck of 52 playing cards, a randomly selected card from the deck,
and the following events: R = red, B = black, A = ace, N = nine, D = diamond and C = club.
For each of the following pair of events, indicate whether the events are mutually exclusive
R and A
A. Yes, mutually exclusive
B. No, not mutually exclusive 1274 Chapter 01  An Introduction to Business Statistics 143. Consider a standard deck of 52 playing cards, a randomly selected card from the deck,
and the following events: R = red, B = black, A = ace, N = nine, D = diamond and C = club.
For each of the following pair of events, indicated whether the events are mutually exclusive
R and C
A. Yes, mutually exclusive
B. No, not mutually exclusive 144. Consider a standard deck of 52 playing cards, a randomly selected card from the deck,
and the following events: R = red, B = black, A = ace, N = nine, D = diamond and C = club.
For each of the following pair of events, indicated whether the events are mutually exclusive
A and N
A. Yes, Mutually exclusive
B. No, not mutually exclusive 145. Consider a standard deck of 52 playing cards, a randomly selected card from the deck,
and the following events: R = red, B = black, A = ace, N = nine, D = diamond and C = club.
For each of the following pair of events, indicated whether the events are mutually exclusive
N and C
A. Yes, Mutually exclusive
B. No, not mutually exclusive 146. Consider a standard deck of 52 playing cards, a randomly selected card from the deck,
and the following events: R = red, B = black, A = ace, N = nine, D = diamond and C = club.
For each of the following pair of events, indicated whether the events are mutually exclusive
D and C
A. Yes, Mutually exclusive
B. No, not mutually exclusive 1275 Chapter 01  An Introduction to Business Statistics 147. Suppose that A1 , A2 and B are events where A1 and A2 are mutually exclusive events and
P(A1) = .7 P(A2) = .3 P(B│A1) = .2 P(B│A2) = .4
Find P(B)
A. 0.60
B. 0.26
C. 0.21
D. 0.14
E. 0.28 148. Suppose that A1, A2 and B are events where A1 and A2 are mutually exclusive events and
P(A1) = .7 P(A2) = .3 P(B│A1) = .2 P(B│A2) = .4
Find P(A1│B)
A. 0.12
B. 0.26
C. 0.21
D. 0.14
E. 0.28 149. Suppose that A1, A2 and B are events where A1 and A2 are mutually exclusive events and
P(A1) = .7 P(A2) = .3 P(B│A1) = .2 P(B│A2) = .4
Find P(A2│B)
A. 0.12
B. 0.26
C. 0.21
D. 0.14
E. 0.46 1276 Chapter 01  An Introduction to Business Statistics Chapter 04 Probability Answer Key True / False Questions 1. A contingency table is a tabular summary of probabilities concerning two sets of
complementary events.
TRUE AACSB: Reflective Thinking
Bloom's: Knowledge
Difficulty: Medium
Topic: Probability & Contingency Table 2. An event is a collection of sample space outcomes.
TRUE AACSB: Reflective Thinking
Bloom's: Knowledge
Difficulty: Easy
Topic: Probability 1277 Chapter 01  An Introduction to Business Statistics 3. Two events are independent if the probability of one event is influenced by whether or not
the other event occurs.
FALSE AACSB: Reflective Thinking
Bloom's: Knowledge
Difficulty: Medium
Topic: Probability & Independence 4. Mutually exclusive events have a nonempty intersection.
FALSE AACSB: Reflective Thinking
Bloom's: Knowledge
Difficulty: Medium
Topic: Probability & Mutual Exclusive Events 1278 Chapter 01  An Introduction to Business Statistics 5. A subjective probability is a probability assessment that is based on experience, intuitive
judgment, or expertise.
TRUE AACSB: Reflective Thinking
Bloom's: Knowledge
Difficulty: Medium
Topic: Probability 6. The probability of an event is the sum of the probabilities of the sample...
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 Winter '14

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