Question

According to an? airline, flights on a certain route are on time 75?%of the time. Suppose 24 flights are randomly selected and the number of? on-time flights is recorded.

?(a) Explain why this is a binomial experiment.

?(b) Find and interpret the probability that exactly 14 flights are on time.

?(c) Find and interpret the probability that fewer than 14 flights are on time.

?(d) Find and interpret the probability that at least 14 flights are on time.

?(e) Find and interpret the probability that between 12 and 14 ?flights, inclusive, are on time.

? Identify the statements that explain why this is a binomial experiment. Select all that apply.

A.The experiment is performed until a desired number of successes is reached.

B.The trials are independent.

C.Each trial depends on the previous trial.

D.

The experiment is performed a fixed number of times.

E.There are three mutually exclusive possibly? outcomes, arriving? on-time, arriving? early, and arriving late.

F.There are two mutually exclusive? outcomes, success or failure.

G.The probability of success is the same for each trial of the experiment.

Answer 1

( a )

The experiment is performed a fixed number of times.

.The trials are independent.

The probability of success is the same for each trial of the experiment.

There are two mutually exclusive? outcomes, success or failure.