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A poll found that

20%

of adults do not work at all while on summer vacation. In a random sample of

8

adults, let x represent the number who do not work during summer vacation. Complete parts a through

e.

a. For this experiment, define the event that represents a "success." Choose the correct answer below.

Adults working during summer vacation

Adults not working during summer vacation

b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below.

A.

The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent.

B.

There are three possible outcomes on each trial.

C.

The experiment consists of only identical trials.

D.

The trials are not independent.

c. Give the value of p for this binomial experiment.

p=enter your response here

d. Find

P(x=4).

P(x=4)=enter your response here

(Round to four decimal places as needed.)

e. Find the probability that

2

or fewer of the

8

adults do not work during summer vacation.

P(x2)=enter your response here

(Round to four decimal places as needed.)

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