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Ten applicants (3 women and 7 men) for a beginning position with the Sacramento Police Department...

Ten applicants (3 women and 7 men) for a beginning position with the Sacramento Police Department were judged to be fully qualified. The Police Chief has decided to hire three of them using a random lottery. Let X be the number of women hired. (a) Calculate the probability P(X = k) for k = 0, 1, 2, 3. (b) Calculate the expected number of women that will be hired.

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