SOLUTION: The previous answer provided was not correct. Please help me figure out this difficult homework problem: An airline estimates that with probability 0.05 a passenger who purchase

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Question 446148: The previous answer provided was not correct. Please help me figure out this difficult homework problem:
An airline estimates that with probability 0.05 a passenger who purchased a ticket won’t take the designated flight. Suppose for a certain flight the airplane can carry 100 passengers and the airline sold 102 tickets.
11. Find the probability that exactly 101 passengers show up to take the flight (4 digits after decimal point).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The previous answer provided was not correct. Please help me figure out this difficult homework problem:
An airline estimates that with probability 0.05 a passenger who purchased a ticket won’t take the designated flight. Suppose for a certain flight the airplane can carry 100 passengers and the airline sold 102 tickets.
11. Find the probability that exactly 101 passengers show up to take the flight (4 digits after decimal point).
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P(won't take) = 0.05
P(will take) = 0.95
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Binomial Problem with n = 102 and p = 0.95
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P(x = 101) = 102C101(0.95)^101*(0.05) = binompdf(102,0.95,101) = 0.0287
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Cheers,
Stan H.