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If two events are independent, then


A) they must be mutually exclusive.
B) the sum of their probabilities must be equal to one.
C) their intersection must be zero.
D) the product of their probabilities gives their intersection.

E) All of the above
F) A) and B)

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The addition law is potentially helpful when we are interested in computing the probability of


A) independent events
B) the intersection of two events
C) the union of two events
D) conditional events

E) C) and D)
F) A) and D)

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The union of events A and B is the event containing all the sample points belonging to


A) B or A.
B) A or B.
C) A or B or both.
D) A or B, but not both.

E) C) and D)
F) All of the above

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If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are


A) supplementary events.
B) mutually exclusive.
C) independent events.
D) complements of each other.

E) B) and D)
F) B) and C)

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A method of assigning probabilities based upon judgment is referred to as the _____ method.


A) relative
B) probability
C) classical
D) subjective

E) A) and D)
F) A) and C)

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If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is


A) much larger than any other outcome.
B) much smaller than any other outcome.
C) the same as any other outcome.
D) not able to be determined before the die is tossed.

E) B) and C)
F) A) and D)

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Of the last 100 customers entering a computer shop, 40have purchased a computer. If the classical method for computing probability is used, the probability that the next customer will purchase a computer is


A) 0.40.
B) 0.50.
C) 1.00.
D) 0.60.

E) All of the above
F) None of the above

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Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 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) 3
B) 6
C) 8
D) 9

E) C) and D)
F) None of the above

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The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A


A) must occur.
B) may occur.
C) could not occur.
D) has a 2/3 probability of occurring.

E) None of the above
F) A) and B)

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A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses. Then, on the seventh trial


A) tail can not appear.
B) head has a larger chance of appearing than tail.
C) tail has a better chance of appearing than head.
D) tail has same chance of appearing as the head.

E) A) and C)
F) B) and D)

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Each individual outcome of an experiment is called


A) the sample space.
B) a sample point.
C) a trial.
D) an event.

E) None of the above
F) A) and B)

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The range of probability values is


A) 0 to infinity.
B) minus infinity to plus infinity.
C) 0 to 1.
D) -1 to 1.

E) A) and B)
F) A) and D)

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Bayes' theorem is used to compute


A) the prior probabilities.
B) the union of events.
C) intersection of events.
D) the posterior probabilities.

E) None of the above
F) All of the above

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A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a


A) Pie chart.
B) Venn diagram.
C) Pareto chart.
D) Box plot.

E) A) and B)
F) None of the above

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From a group of six people, two individuals are to be selected at random. How many selections are possible?


A) 12
B) 36
C) 15
D) 8

E) All of the above
F) A) and B)

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In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B


A) cannot be larger than 0.4.
B) can be any value greater than 0.6.
C) can be any value between 0 to 1.
D) cannot be determined with the information given.

E) B) and D)
F) None of the above

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A method of assigning probabilities based on historical data is called the _____ method.


A) classical
B) subjective
C) relative frequency
D) progressive

E) A) and D)
F) All of the above

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The sum of the probabilities of two complementary events is


A) 0.
B) 0.5.
C) 0.57.
D) 1.0.

E) B) and D)
F) C) and D)

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Events A and B are mutually exclusive. Which of the following statements is also true?


A) A and B are also independent.
B) P(A ∪ B) = P(A) P(B)
C) P(A ∪ B) = P(A) + P(B)
D) P(A ∩ B) = P(A) + P(B)

E) B) and D)
F) A) and D)

Correct Answer

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The multiplication law is potentially helpful when we are interested in computing the probability of


A) mutually exclusive events.
B) the intersection of two events.
C) the union of two events.
D) conditional events.

E) A) and B)
F) A) and C)

Correct Answer

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