SOLUTION: Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. Suppose an operator handles 15 calls. What is the probability that at lea

Algebra ->  Probability-and-statistics -> SOLUTION: Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. Suppose an operator handles 15 calls. What is the probability that at lea      Log On


   

Question 410122: Approximately 18% of the calls to an airline reservation phone line result in a reservation being made.
Suppose an operator handles 15 calls. What is the probability that at least one call results in a reservation being made?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Approximately 18% of the calls to an airline reservation phone line result in a reservation being made.
Suppose an operator handles 15 calls. What is the probability that at least one call results in a reservation being made?
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P(at least one) = 1 - P(none)
P(no reservation) = 0.82
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Binomial Problem with n = 15 and p = 0.18
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P(at least one) = 1 - (0.82)^15
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= 1 - 0.051
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= 0.949
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Cheers,
Stan H.
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