A poll reported that 62% of adults were satisfied with the job the major airlines were doing. Suppose 15 adults are selected at random and the number who are satisfied is recorded. Complete parts(a) through(e) below.

(a) Explain why this is a binomial experiment. Choose the correct answer below.

A.

This is a binomial experiment because there are two mutually exclusive outcomes for eachtrial, there is a random number oftrials, the outcome of one trial does not affect the outcome ofanother, and the probability of success is the same for each trial.

B.

This is a binomial experiment because there are three mutually exclusive outcomes for eachtrial, there is a fixed number oftrials, the outcome of one trial does not affect the outcome ofanother, and the probability of success is the same for each trial.

C.

This is a binomial experiment because there are two mutually exclusive outcomes for eachtrial, there is a fixed number oftrials, the outcome of one trial does not affect the outcome ofanother, and the probability of success changes in each trial.

D.

This is a binomial experiment because there are two mutually exclusive outcomes for eachtrial, there is a fixed number oftrials, the outcome of one trial does not affect the outcome ofanother, and the probability of success is the same for each trial.

Your answer is correct.

(b) Find and interpret the probability that exactly 8 of them are satisfied with the airlines.

The probability that exactly 8 adults are satisfied with the airlines is 0.1608.

(Round to four decimal places asneeded.)

Interpret the probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer asneeded.)

In 100 randomly sampled surveys of 15 adults, less than 8 of the 15 adults would be expected to be satisfied with the airlines in about_____of those surveys.

B.

In 100 randomly sampled surveys of 15 adults, exactly 8 out of the 15 adults would be expected to be satisfied with the airlines in about 16 of those surveys.

Your answer is correct.

C.

In 100 randomly sampled surveys of 15 adults, 8 or more of the 15 adults would be expected to be satisfied with the airlines in about______of those surveys.

(c) Find and interpret the probability that at least 11 of them are satisfied with the airlines.

The probability that at least 11 adults are satisfied with the airlines is 0.2668.

(Round to four decimal places asneeded.)

Interpret the probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer asneeded.)

A.

In 100 randomly sampled surveys of 15 adults, 11 or more of the 15 adults would be expected to be satisfied with the airlines in about_____of those surveys.

B.

In 100 randomly sampled surveys of 15 adults, exactly 11 out of the 15 adults would be expected to be satisfied with the airlines in about______of those surveys.

C.

In 100 randomly sampled surveys of 15 adults, less than 11 of the 15 adults would be expected to be satisfied with the airlines in about_____ of those surveys.