Ahotel guest satisfaction study revealed that 70% of hotel guests were aware of the hotel's "green" conservation program. among these guests, 73% actually participate in the program by reusing towels and bed linens. in a random sample of 16 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 equals 0.51. find the probability that at least 11 of the 16 hotel guests are aware of and participate in the hotel's conservation efforts.