67 Hotel guest satisfaction. Each year, J. D. Power and Associates publishes the results of its North American Hotel Guest Satisfaction Index Study. For 2009, the study revealed that 66% of hotel guests were 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.