question

A hotel guest satisfaction study revealed that 52% of hotel guests were aware of the hotel's "green" conservation program. Among these guests, 90% 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 = 0.46. Find the probability that at least 10 of the 15 hotel guests are aware of and participate in the hotel's conservation efforts. a. Complete the explanation below. There are 15 identical trials. For each trial, there are two possible outcome(s). The probability of each possible outcome is the same for each trial, and the trials are all independent. b. p= (Round to four decimal places as needed.)