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