2. Multiple choice (circle the correct answer). A U.S. citizen is randomly selec

Question

2. Multiple choice (circle the correct answer). A U.S. citizen is randomly selected. The probability that the citizen is female is 0.52, and the probability the citizen is over 65 year of age is 0.15. Can we conclude that (0.52)(0.15) = 0.078 is the probability that a randomly selected U.S. citizen is a female over age 65?

A. Yes, by the multiplication rule.

B. Yes, by conditional probabilities.

C. No, because the events might not be independent.

D. No, because the events might not be mutually exclusive (disjoint).2

Explanation / Answer

Answer is Option C)

No, because the events might not be independent. Because multiplication rule can be applied when two events are independent

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