The mailing list of an agency that markets scuba-diving trips to the Florida Key
ID: 3328051 • Letter: T
Question
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 55% males and 45% females. The agency calls 29 people chosen at random from its list.
3. + 10 points MintroStat9 5.E 520.XP ng list of an agency that markets scuba-diving trips to the Florid a) What is 9 people are men? (Use the binomial probability formula. Round your answer to four decimal places. My Notes ÷ Ask Your Teac a Keys contains 55% males and 45% emales. The agency calls 29 people chosen at random from its list The ag the probability that 18 of the 2 (b) what is the probability that the first woman i s reached on the 4th call? (That is, the first 4 calls give MMMF. Round your answer to four decimal places.)Explanation / Answer
Probabiliity that a person is a male = 0.55
Probability that a person is female = 0.45
(a) Probability that 18 out of 29 people are men
= 29C18 * 0.5518 * 0.4511
= 34597290 * 0.5518 * 0.4511
= 0.1124.
(b) Probability that the firstr woman is reached on the 4th call
= 0.55 * 0.55 * 0.55 * 0.45
= 0.0749.
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