Question: 3)[8] When 3 students are chosen at random and without replacement from a class with 7 women and 5 men the probability of choosing X

3)[8] When 3 students are chosen at random and without replacement from a class with 7 women and 5 men the probability of choosing X women is as indicated in the table:

X 0 1 2 3

P (X) .046 .318 .477 .159

a)Find the Mean number of women chosen.

b)Find the Standard Deviation of the number of women chosen.

c)Find the probability that at most 2 women are chosen.

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