## Approximately 24% of the calls to an airline reservation phone line result in a reservation being made. (a) Suppose that an operator handles

Question

Approximately 24% of the calls to an airline reservation phone line result in a reservation being made. (a) Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation? (Give the answer to 3 decimal places.)

in progress 0
1 day 2021-09-10T09:10:50+00:00 1 Answer 0

0.064 = 6.4% probability that none of the 10 calls result in a reservation.

Step-by-step explanation:

For each call, there are only two possible outcomes. Either it results in a reservation, or it does not. The probability of a call resulting in a reservation is independent of other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes. In which is the number of different combinations of x objects from a set of n elements, given by the following formula. And p is the probability of X happening.

24% of the calls to an airline reservation phone line result in a reservation being made.

This means that Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?

This is P(X = 0) when n = 10. So  0.064 = 6.4% probability that none of the 10 calls result in a reservation.