A hotel guest satisfaction study revealed that 59

59% of hotel guests were aware of thehotel's "green" conservation program. Among theseguests, 86

86% actually participate in the program by reusing towels and bed linens. In a random sample of 15

15 hotelguests, consider the number(x) of guests who are aware and participate in thehotel'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 pequals

=

0.51. Find the probability that at least 10

of the

15 hotel guests are aware of and participate in thehotel's conservation efforts.