A department store is considering a new credit policy to try to reduce the number of customers defaulting on payments. Currently, 2 percent of...

A department store is considering a new credit policy to try to reduce the number of customers defaulting on payments. Currently, 2 percent of customers default. A suggestion is made to discontinue credit to any customer who has been one week or more late with their payment at least twice. Past records show that 95 percent of defaults were at late at least twice. However, 25 percent of those who have not defaulted have had at least two late payments.a. Find the probability that customer with at least two late payments will default.b. Based on the information in the question and your answer in (a) above, should the policy be adopted? Why or why not?