Question: Sampling senators, III Th e two-way table at left describes the members of the U.S. Senate in 2008. Suppose we select a senator at random.

Sampling senators, III Th e two-way table at left describes the members of the U.S. Senate in 2008. Suppose we select a senator at random. Consider events D 5 is a Democrat and F 5 is female.

(a) Find P(D|F). Explain what this value means.

(b) Find P(F|D). Explain what this value means.

(c) Are events D and F mutually exclusive? Justify your answer.

(d) Are events D and F independent? Justify your answer.

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