Exam 4: Probability and Probability Distributions

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The number of car insurance policy holders is an example of a discrete random variable.

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What is the probability of observing the sale of no more than two bats on a given day at this sporting goods store?

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If two events are mutually exclusive, what is the probability that one or the other occurs?

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If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.

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Suppose a randomly selected patron is a female. What is the probability that the patron prefers wine?

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The probabilities shown in a table with two rows, The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and two columns, The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: , are as follows: P( The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: ) = .10, P( The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: ) = .30, P( The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: ) = .05, and P( The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: and The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: ) = .55. Then P( The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: | The probabilities shown in a table with two rows,   and   and two columns,   and   , are as follows: P(   and   ) = .10, P(   and   ) = .30, P(   and   ) = .05, and P(   and   ) = .55. Then P(   |   ), calculated up to two decimals, is: ), calculated up to two decimals, is:

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Suppose that after graduation, you will either buy a new car (event A) or take a trip to Europe (event B). In this case, events A and B are mutually exclusive.

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If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:

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If A and B are any two events with P(A) = .8 and P(B|A) = .4, then the joint probability of A and B is:

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Two or more events are said to be mutually exclusive if at most one of them can occur.

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On average, how many customers would you expect to see in line?

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What is the probability that a respondent was female?

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Are gender of patrons and drinking preference independent? Explain.

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A sporting goods store sells softball bats. Let X be the numbers of bats sold on a typical day at the store. Based on the store historical data, the probability distribution of X is provided in the table below. Sales (in units) A sporting goods store sells softball bats. Let X be the numbers of bats sold on a typical day at the store. Based on the store historical data, the probability distribution of X is provided in the table below. Sales (in units)   -What is the expected number of bats sold on a typical day? -What is the expected number of bats sold on a typical day?

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Two or more events are said to be exhaustive if one of them must occur.

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Which of the following statements is true?

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If P(A) = P(A|B), then events A and B are said to be:

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What is the probability that a respondent chosen at random is a female and does not enjoy shopping for clothing?

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What is probability of observing the sale of no more than 1 bat at this sporting goods store?

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If two events are collectively exhaustive, what is the probability that both occur at the same time?

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