SOLUTION: When someone buys a ticket for an airline flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 16 passengers. Is it wise to

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Question 1014072: When someone buys a ticket for an airline flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 16 passengers. Is it wise to book 18 passengers for a flight on the jet? Explain.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
When someone buys a ticket for an airline flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 16 passengers. Is it wise to book 18 passengers for a flight on the jet? Explain.
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Binomial Problem with n = 18 and p(not show) = 0.0973
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The probability that 2 of the 18 do not show up is,
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P(x = 2) = 18C2(0.0973)^2*(0.9027)^16 = binompdf(18,0.0973,2) = 0.28
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So there is a 28% chance that 2 people will not show up.
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I'll leave the conclusion to you.
Cheers,
Stan H.
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