Solution-Compute the conditional probability of promotion

There are 1200 police officers in Boston: 960 men (M), 240 women (F). Last year, 324 officers were promoted (P): 288 men and 36 women.

Compute the conditional probability of promotion if the officer is a woman, P(P|F).

If promotion and gender were to be independent, how many women should have been promoted for independency (given that 324 officers were promoted)?

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Compute the conditional probability of promotion : There are 1200 police officers in Boston: 960 men (M), 240 women (F). Last year, 324 officers were promoted (P): 288 men and 36 women.

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