The mailing list of an agency that markets scuba-diving trips to the Florida Key

Question

The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 60% males and 40% females. The agency calls 26 people chosen at random from its list. (a) What is the probability that 18 of the 26 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 MMMF. Round your answer to four decimal places.) __________

Explanation / Answer

a) P(18 out of 26 are men)

= binomdist(18, 26, 0.6, FALSE) [Excel Formula]

= 0.1040

b) P(First women is reached on 4th call)

= P(MMMF)

= (0.6)3 (0.4)

= 0.0864

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