SOLUTION: I have lost here with 2 different formula it's likely the same for me ,f(x) = n nCr x p^x(1 - p)^n-x or the Discrete population Probability D??which one is corrector and why? Bec

Question 615359: I have lost here with 2 different formula it's likely the same for me ,f(x) = n nCr x p^x(1 - p)^n-x or the Discrete population Probability D??which one is corrector and why?
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently.
a)What is the probability that every passenger who shows up can take the flight?
b)What is the probability that the flight departs with empty seats?
c)What is the probability that the flight departs with exactly 5 empty seats?
Thanks so much in advance!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have lost here with 2 different formula it's likely the same for me ,f(x) = n nCr x p^x(1 - p)^n-x or the Discrete population Probability D??which one is corrector and why?
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently.
a)What is the probability that every passenger who shows up can take the flight?
P(x <= 120) = binomcdf(125,0.90,120) = 0.9961
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b)What is the probability that the flight departs with empty seats?
P(x > = 5) = 1 - binomcdf(125,0.1,5) = 0.9886
----------------------------------------------------------
c)What is the probability that the flight departs with exactly 5 empty seats?
P(x = 115)= 125C115*(0.9)^115*(0.1)^5 = 0.0970
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Cheers,
Stan H.
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