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Scuba-diving trips

The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 60% males and 40% females. The agency calls 30 people chosen at random from its list.

(a) What is the probability that 20 of the 30 are men? (Use the binomial probability formula.)

(b) What is the probability that the ?rst woman is reached on the fourth call? (That is, the ?rst 4 calls give MMMF.)

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