Hotel guest satisfaction. J. D. Power and Associates’ North American Hotel Guest Satisfaction Index Study revealed that 66% of hotel guests are aware of the hotel’s “green”

conservation program. Among these guests, 72% actually participate in the program by reusing towels and bed linens.

In a random sample of 15 hotel guests, consider the number (x) of guests who are aware and participate in the hotel’s conservation efforts.

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

b. Use the rules of probability to determine the value of p for this binomial experiment.

c. Assume p = .45. Find the probability that at least 10 of the 15 hotel guests are aware of and participate in the hotel’s conservation efforts.