Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a pro­fit unless they gross over $940,000 per year. Let A be the event that a new Wing Foot store grosses over $940,000 its ­first year. Let B be the event that a store grosses over $940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a pro­fit in either of the fi­rst 2 years. The accounting of­fice at Wing Foot provided the following information: 65% of all Wing Foot stores show a pro­fit the fi­rst year; 71% of all Wing Foot stores show a pro­fit the second year (this includes stores that did not show a profi­t the fi­rst year); however, 87% of Wing Foot stores that showed a pro­fit the fi­rst year also showed a pro­fit the second year. Compute the following:

(a) P (A)

(b) P (B)

(c) P (B | A)

(d) P (A and B)

(e) P (A or B)

(f) What is the probability that a new Wing Foot store will not be closed after 2 years? What is the probability that a new Wing Foot store will be closed after 2 years?