A hotel guest satisfaction study revealed that 51% of hotel guests were aware of the hotel's "green" conservation program. Among these guests, 89% actually participate in the program by reusing towels and bed linens. In a random sample of 13 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.
