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. (a

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?
wrong check mark
(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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