Exam 4: Probability and Probability Distributions

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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:

(Multiple Choice)
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If A and B are mutually exclusive events with P(A) = 0.70, then P(B):

(Multiple Choice)
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If P(A and B) = 0, then A and B must be collectively exhaustive.

(True/False)
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What is the probability that the demand for this product will be above its mean in the upcoming quarter?

(Short Answer)
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The probability of an event and the probability of its complement always sum to:

(Multiple Choice)
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A random variable is a function that associates a numerical value with each possible outcome of a random phenomenon.

(True/False)
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If it costs $200,000 to drill each well and a successful well will produce $1,000,000 worth of oil over its lifetime, what is the expected net value of this three-well program if no wells are successful?

(Short Answer)
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Does consumer behavior depend on the gender of consumer? Explain using probabilities.

(Essay)
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What is the probability a randomly selected patron is a female who prefers beer?

(Short Answer)
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Suppose A and B are mutually exclusive events where P(A) = 0.3 and P(B) = 0.4. Then, P(A and B) = 0.12.

(True/False)
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Two events are said to be independent when knowledge of one event is of no value when assessing the probability of the other.

(True/False)
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What is the probability that no one is waiting or being served in the regular checkout line?

(Short Answer)
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What is the probability that a respondent chosen at random does not enjoy shopping for clothing?

(Essay)
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Given that events A and B are independent and that P(A) = 0.8 and P(B/A) = 0.4, then P(A and B) = 0.32.

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Suppose A and B are two events where P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, then P(B/A) = 0.5.

(True/False)
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Two or more events are said to be exhaustive if at most one of them can occur.

(True/False)
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If A and B are mutually exclusive events with P(A) = 0.30 and P(B) = 0.40, then the probability that either A or B occur is:

(Multiple Choice)
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What is the probability that a respondent chosen at random is a male and does not enjoy shopping for clothing?

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What is the probability that any well will not be successful?

(Short Answer)
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(A) What is the expected completion time (in months) from now for this project? (B) How much variability (in months) exists around the expected value found in (A)?

(Short Answer)
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