Exam 4: Probability and Probability Models

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A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not defective?

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Two mutually exclusive events having positive probabilities are ________ dependent.

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The ________ of an event is a number that measures the likelihood that an event will occur when an experiment is carried out.

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New car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick. Assuming that each set of rankings is equally likely, what is the probability that owners ranked Subaru first?

(Multiple Choice)
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It is very common for a television series to draw a large audience for special events or for cliff-hanging story lines. Suppose that on one of these occasions, the special show drew viewers from 38.2 percent of all US TV households. Suppose that three TV households are randomly selected. What is the probability that none of the three households viewed this special show?

(Multiple Choice)
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Employees of a local university have been classified according to gender and job type. Employees of a local university have been classified according to gender and job type.   Are gender and type of job statistically independent? Are gender and type of job statistically independent?

(Multiple Choice)
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Mutually exclusive events have a nonempty intersection.

(True/False)
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If events A and B are independent, then P(A|B) is equal to ________.

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Given the standard deck of cards, what is the probability of drawing a red card, given that it is a face card?

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When the probability of one event is not influenced by whether or not another event occurs, the events are said to be ________.

(Multiple Choice)
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At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   What is the probability that a student is male and not a C student? What is the probability that a student is male and not a C student?

(Multiple Choice)
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The method of assigning probabilities when all outcomes are equally likely to occur is called the classical method.

(True/False)
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A coin is tossed 6 times. What is the probability that at least one head occurs?

(Multiple Choice)
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Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. What is the probability that Joe will be accepted at both universities?

(Multiple Choice)
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New car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick. Assuming that each set of rankings is equally likely, what is the probability that owners ranked Subaru third?

(Multiple Choice)
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A process of observation that has an uncertain outcome is referred to as a(n) ________.

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If events A and B are independent, then P(A|B) is always equal to zero.

(True/False)
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A ________ is the probability that one event will occur given that we know that another event already has occurred.

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What is the probability that a king appears in drawing a single card from a deck of 52 cards?

(Multiple Choice)
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Determine whether these two events are mutually exclusive: unmarried person and a person with an employed spouse.

(Multiple Choice)
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