SOLUTION: On-Time Airplane Arrivals. The greater Cincinnati airport led major U.S. airports in on-time arrivals in the last quarter of 2005 with an 84.3% on-time rate. choose 5 arrivals at

Algebra ->  Probability-and-statistics -> SOLUTION: On-Time Airplane Arrivals. The greater Cincinnati airport led major U.S. airports in on-time arrivals in the last quarter of 2005 with an 84.3% on-time rate. choose 5 arrivals at      Log On


   

Question 562802: On-Time Airplane Arrivals. The greater Cincinnati airport led major U.S. airports in on-time arrivals in the last quarter of 2005 with an 84.3% on-time rate. choose 5 arrivals at random and find the probablitiy that at least 1 was not on time.
Answer by stanbon(75887) About Me  (Show Source):
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On-Time Airplane Arrivals. The greater Cincinnati airport led major U.S. airports in on-time arrivals in the last quarter of 2005 with an 84.3% on-time rate. choose 5 arrivals at random and find the probability that at least 1 was not on time.
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Binomial Problem with n = 5 and p(on-time) = 0.843 ; p(not on-time) = 0.157
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P(1<= not on time <=5) = 1 - P(x = 0 not on time)
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= 1 - 0.843^5
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= 1 - 0.5743
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= 0.4247
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Cheers,
Stan H.
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