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A)Twenty students in a statistics class decide to have a post-exam victory party. They want to...

A)Twenty students in a statistics class decide to have a post-exam victory party. They want to form an organizing committee by selecting 4 students at random out of the 13 women and 7 men in the class, but they don’t want the committee to be all women or all men. Let the random variable Y be the number of women in the committee. Find P(Y =1). Give your answer to 4 decimal places.

b) Twenty students in a statistics class decide to have a post-exam victory party. They want to form an organizing committee by selecting 4 students at random out of the 13 women and 7 men in the class, but they don’t want the committee to be all women or all men. Let the random variable Y be the number of women in the committee. Find the mean or expected value, E(Y), of the number of women in the committee? Give your answer to 1 decimal places.

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