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In the population, 8% of males have had a kidney stone. Suppose a medical researcher randomly selects two males from a large population.Let A represent the event "the first male has had a kidney stone."Let B represent the event "the second male has had a kidney stone."True or false? A and B are independent events. True False

Question

In the population, 8% of males have had a kidney stone. Suppose a medical researcher randomly selects two males from a large population.Let A represent the event "the first male has had a kidney stone."Let B represent the event "the second male has had a kidney stone."True or false? A and B are independent events. True False

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Solution 1

True. Events A and B are independent because the occurrence of one does not affect the probability of the occurrence of the other. The probability that the first male has had a kidney stone does not influence the probability that the second male has had a kidney stone.

Solution 2

True. Events A and B are independent because the occurrence of one does not affect the probability of the occurrence of the other. The probability that the first male has had a kidney stone does not affect the probability that the second male has had a kidney stone.

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