Exam 6: Probability

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If two events are mutually exclusive and collectively exhaustive, what is the probability that both occur?

(Multiple Choice)
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Assume that A and B are independent events with P(A) = 0.30 and P(B) = 0.50.The probability that both events will occur simultaneously is 0.80.

(True/False)
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Thomas ____________________ first employed the calculation of conditional probability.

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The outcomes of a sample space must be ____________________, which means that no two outcomes can occur at the same time.

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P(A) + P(B) = 1 for any events A and B that are mutually exclusive.

(True/False)
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There are three approaches to determining the probability that an outcome will occur: classical, relative frequency, and subjective.For each situation that follows, determine which approach is most appropriate. a. A Russian will win the French Open Tennis Tournament next year. b. The probability of getting any single number on a balanced die is 1/6. c. Based on the past, it's reasonable to assume the average book sales for a certain textbook is 6,500 copies per month.

(Short Answer)
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Which of the following best describes the concept of marginal probability?

(Multiple Choice)
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If A and B are independent events with P(A) = .40 and P(B) = .50, then P(A and B) = .20.

(True/False)
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Cysts After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. -{Cysts Narrative} What is the probability that the patient will test negative?

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If two events are collectively exhaustive, what is the probability that one or the other occurs?

(Multiple Choice)
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The probability of the union of two mutually exclusive events A and B is 0.

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Prior probability is also called likelihood probability.

(True/False)
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If A and B are independent events with P(A) = 0.20 and P(B) = 0.60, then P(A|B) is:

(Multiple Choice)
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If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

(Multiple Choice)
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