SOLUTION: When you buy a ticket there is a .0995 probability that someone will not show up for a flight. An agent for an airline wants to know what the probability is that there will not be

Question 581358: When you buy a ticket there is a .0995 probability that someone will not show up for a flight. An agent for an airline wants to know what the probability is that there will not be enough seats on the plane if he sells 24 tickets for a flight but has only 22 seats. Based on the results, should the agent be concerned?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
When you buy a ticket there is a .0995 probability that someone will not show up for a flight. An agent for an airline wants to know what the probability is that there will not be enough seats on the plane if he sells 24 tickets for a flight but has only 22 seats. Based on the results, should the agent be concerned?
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P(more than 22 people show up) = P(x = 23) + P(x = 24)
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= 24C23(0.9005)^23*(0.0995) + 0.9005^24
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= 0.2144 + 0.0808
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= 0.2952
===========================
Yes, he should be concerned.
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Cheers,
Stan H.
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