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

a. Assuming the validity of this premise, among 25 randomly selected current customers, what is the probability 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 random sample of 100 current customers?

c. Let X denote the number in a random sample of 25 current customers who qualify for premise in favor of the claim that p .10 if x 
7. What is the probability that the company s premise is rejected when it is actually valid?

d. Refer to the decision rule introduced in part (c).
What is the probability that the company s premise is not rejected even though p  .20 (i.e., 20% qualify)?