A pol found hat 35% o adults do not work at all while on summer vacation n a ran

Question

A pol found hat 35% o adults do not work at all while on summer vacation n a random sample 0 7 adults, et x represent the number ho do no work dun a. For this experiment, define the event that represents a "success. Choose the correct answer below. O Adults working during summer vacation summer vacation omplete parts a rou e Adults not working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. OA. There are three possible outcomes on each trial. O B. The trials are not independent. ° C. 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. D. The experiment consists of only identical trials c. Give the value of p for this binomial experiment. d. Find P(x 3 P(x = 3) = | | (Round to four decimal places as needed.) e. Find the probability that 2 or fewer of the 7 adults do not work during summer vacation P(xs2)(Round to four decimal places as needed.)

Explanation / Answer

a) Success: Adults not working during summer vacation

b) Option C is correct.

c) p = 0.35

d) P(x = 3) = binomdist(3, 7, 0.35, FALSE) [Excel Formula]

P(x = 3) = 0.2679

e) P(x < 2) = binomdist(2, 7, 0.35, TRUE) [Excel Formula]

P(x < 2) = 0.5323

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