Exam 4: Probability and Probability Distributions

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What is the probability that a respondent chosen at random is a male who enjoys shopping for clothing or a female who enjoys shopping for clothing?

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P(male who enjoys clothes shopping or female who enjoys clothes shopping) = (448+272)/1000 = 720/1000 = 0.72

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

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C

What is the probability of observing the sale of at least two bats on a given day at this sporting goods store?

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P(X≥2) = 0.436

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

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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 all three wells are successful?

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The multiplication rule for two events A and B is: P(A and B) = P(A|B)P(A).

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You think you have a 90% chance of passing your statistics class. This is an example of subjective probability.

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What is the probability that a respondent chosen at random is a female and enjoys shopping for clothing?

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What is the probability that a respondent chosen at random is a male or a female?

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Probabilities that can be estimated from long-run relative frequencies of events are called:

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Find the probability distribution of X.

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Conditional probability is the probability that an event will occur, with no other events taken into consideration.

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Suppose a randomly selected patron prefers beer. What is the probability the patron is a male?

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The time students spend in a computer lab during one day is an example of a continuous random variable.

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Probability is a number between 0 and 1, inclusive, which measures the likelihood that some event will occur.

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Two events A and B are said to be independent if P(A and B) = P(A) + P(B).

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What is the probability a randomly selected patron is a female who prefers wine?

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What is the probability that none of the oil wells will be successful?

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Let A and B be the events of the FDA approving and rejecting a new drug to treat hypertension, respectively. The events A and B are:

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If A and B are two independent events with P(A) = 0.20 and P(B) = 0.60, then P(A and B) = 0.80.

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