Working on summer vacation. Recall (Exercise 3.13, p. 145) that a Harris Interactive (July 2013) poll found that 22% of U.S. adults do not work at all while on summer vacation. In a random sample of 10 U.S. adults, let x represent the number who do not work during summer vacation.

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

b. Explain why x is (approximately) a binomial random variable.

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

d. Find P1x = 32.

e. Find the probability that 2 or fewer of the 10 U.S. adults do not work during summer vacation.