4. In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that: the probability a man is a ballet dancer is 0.28 • the probability a woman is a musical performer is 0.42 • the probability a man is a musical performer, given that he's a ballet dancer is 0.55 • the probability a woman is an actress is 0.55 the probability a woman is an actress, given that she's a musical performer is .67 Compute the following probabilities (show work): A. B. C. P (man is a ballet dancer and a musical performer) P (woman is an actress and a musical performer) P (woman is an actress or a musical performer)

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