Question

A poll reported that

63?%

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 each? trial, there is a fixed number of? trials, the outcome of one trial does not affect the outcome of? another, 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 each? trial, there is a fixed number of? trials, the outcome of one trial does not affect the outcome of? another, 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 each? trial, there is a fixed number of? trials, the outcome of one trial does not affect the outcome of? another, and the probability of success changes in each trial.

D.

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

?(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

0.1516

?(Round to four decimal places as? needed.)

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

?(Round to the nearest integer as? needed.)

A.

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

nothing

of those surveys.

B.

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

nothing

of those surveys.

C.

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

nothing

of those surveys.?(c) Find and interpret the probability that at least

12

of them are satisfied with the airlines.The probability that at least

12

adults are satisfied with the airlines is

nothing.

?(Round to four decimal places as? needed.)

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

?(Round to the nearest integer as? needed.)

A.

In 100 randomly sampled surveys of

1515

?adults, exactly

12

out of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.

B.

In 100 randomly sampled surveys of

15

?adults, less than

12

of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.

C.

In 100 randomly sampled surveys of

15

?adults,

12

or more of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.?(d) Find and interpret the probability that between

6

and

9

of? them, inclusive, are satisfied with the airlines.The probability that between

6

and

9

?adults, inclusive, are satisfied with the airlines is

nothing.

? (Round to four decimal places as? needed.)

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

?(Round to the nearest integer as? needed.)

A.

In 100 randomly sampled surveys of

15

?adults, either

7

or

8

of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.

B.

In 100 randomly sampled surveys of

15

?adults, no more than

6

or no less than

9

out of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.

C.

In 100 randomly sampled surveys of

15

?adults, between

6

and

9

of the

15

adults would be expected to be satisfied with the airlines in about

nothing

of those surveys.?(e) Would it be unusual to find more than

12

who are satisfied with the job the major airlines were? doing?The result

is

is not

is

?unusual, because

?P(xgreater than>12?)equals=nothing

under the assumption that the proportion of adults that are satisfied with the airlines is

63?%.

?Thus, in 100 random samples of size

15,

this result is expected in about

nothing

of the random samples.

Answer 1