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The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 70%...

The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 70% males and 30% females. The agency calls 30 people chosen at random from its list.

(a) What is the probability that 20 of the 30 people are men? (Use the binomial probability formula. Round your answer to four decimal places.)

(b) What is the probability that the first woman is reached on the 4th call? (That is, the first 4 calls give MMMMF)

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