Question: A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 5 adults, let x

A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 5 adults, let x represent the number who do not work during summer vacation. Complete parts a through e.

a. For thisexperiment, 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.

The experiment consists of only identical trials.

There are three possible outcomes on each trial.

The experiment consists of identicaltrials, there are only two possible outcomes on each trial(works or does notwork), and the trials are independent.

The trials are not independent.

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

d. Find P(x=4).

P(x=4)=

(Round to four decimal places asneeded.)

e. Find the probability that 2 or fewer of the 5 adults do not work during summer vacation.

P(x2)=

(Round to four decimal places asneeded.)

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