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