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1. In a certain business there are bosses and workers, women and men. If a person is picked at random, the probability of bei

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Answer #1

Q.1.

Probability of being a woman = 0.4

=> Probability of being a man = 0.6

Probability of being a boss = 0.2

=> Probability of being a worker = 0.8

Assuming worker status and gender are independent:

Joint probability = product of individual probabilities.

Hence probability matrix is filled as:

Work Status Workers Bosses Women 0.4 0.2 0.08 0.4 0.80.32 Gender Men 0.6 0.2 0.12 0.6 0.8 0.48

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