SOLUTION: The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.
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-> SOLUTION: The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.
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Question 107236: The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.
(a) What is the probability that 17 of the 25 people are men?
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(b) What is the probability that the first woman is reached on the 8th call? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.
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P(man)= 0.75
P(woman) = 0.25
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(a) What is the probability that 17 of the 25 people are men?
Prob(x=17) = 25C17(0.75)^17(0.25)^8 = 0.1241....
I used binompdf(25,0.75,17) with a TI-83 to get the decimal answer.
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(b) What is the probability that the first woman is reached on the 8th call?
P(1st woman on 8th) = 0.75^7(0.25)= 0.33371
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Cheers,
Stan H.
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