Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. (a) suppose that an operator handles 15 calls. what is the probability that none of the 15 calls result in a reservation?

Question

Carsen Spence

Mathematics

27 March, 16:24

Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. (a) suppose that an operator handles 15 calls. what is the probability that none of the 15 calls result in a reservation?

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Immanuel Hale · Answer 1

Answer: The probability that none of the calls would result in a reservation would be 0.72%.

Since there is an 18% chance that there would be a reservation, then there is a 72% chance that there is not a reservation.

Our goal is to determine the likelihood that there are no calls. Or that the 72% chance event happens 15 times.

We can use the following expression to find that repeated probability.

(0.72) ^15 = 0.0072 or 0.72%