A plan for an executive travelers' club has been developed by an airline on the premise that 10% of its current cus- tomers would qualify for membership.

a. Assuming the validity of this premise, among 25 ran- domly selected current customers, what is the probabil- ity that between 2 and 6 (inclusive) qualify for membership?

b. Again assuming the validity of the premise, what are the expected number of customers who qualify and the standard deviation of the number who qualify in a ran- dom sample of 100 current customers?

c. Let X denote the number in a random sample of 25 cur- rent customers who qualify for membership. Consider rejecting the company's premise in favor of the claim that p>.10 if x