SOLUTION: Approximately 15% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 15 calls. What is the probability that none

Question 349764: Approximately 15% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 15 calls. What is the probability that none of the 15 calls result in a reservation? (Give the answer to 3 decimals places.)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
probability of a call resulting in a reservation = .15
probability of a call not resulting in a reservation = .85

15 calls are made.

what is the probability that at least 1 of them will be a reservation?

that equals 1 minus the probability that all of them do not result in a reservation.

since the probability of any one call not resulting in a reservation equals .85, then the probability that all 15 calls will not result in a reservation equals .85^15.

that number is .087354219.

the probability that at least 1 call will result in a reservation is 1 minus the probability that no calls will result in a reservation.

that probability = .912645781.

that's the probability that at least 1 call will result in a reservation.

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