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a. For this? experiment, define the event that represents a? \"success.\" Choose

ID: 2906495 • Letter: A

Question

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

Adults not working during summer vacation

Adults working during summer vacation

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

A.There are three possible outcomes on each trial.

B.The trials are not independent.

C.The experiment consists of only identical trials.

D.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. (choose one phrase from the choices above)

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

p=?

d. Find P(x=33?)    P(x=33?)=?

?(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(x?22?)=?

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

A poll found that 5?% 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.

Explanation / Answer

Ans:

a)Adults not working during summer vacation

b)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.

c)p=0.05

d)n=8

P(x=3)=8C3*0.053*0.955=0.0054

e)

P(x<=2)=P(x=0)+P(x=1)+P(x=2)

=8C0*0.050*0.958+8C1*0.051*0.957+8C2*0.052*0.956

=0.6634+0.2793+0.0515

=0.9942

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