65. Sampling senators The two-way table describes the members of the U.S. Senate in a recent year. Sup- pose we select a senator at random. Consider events D: is a democrat, and F: is female. Male Female Democrats 47 13 Republicans 36 4 (a) Find P(D |F). Explain what this value means. (b) Find P(F|D). Explain what this value means.

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please answer this question: Are events B and F independent? Justify your answer.

65. Sampling senators The two-way table describes the
members of the U.S. Senate in a recent year. Sup-
pose we select a senator at random. Consider events
D: is a democrat, and F: is female.
Male
Female
Democrats
47
13
Republicans
36
4
(a) Find P(D|F). Explain what this value means.
(b) Find P(F|D). Explain what this value means.
Transcribed Image Text:65. Sampling senators The two-way table describes the members of the U.S. Senate in a recent year. Sup- pose we select a senator at random. Consider events D: is a democrat, and F: is female. Male Female Democrats 47 13 Republicans 36 4 (a) Find P(D|F). Explain what this value means. (b) Find P(F|D). Explain what this value means.
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