Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions.

a. Find the probability that exactly 5 customers make a purchase

b. Find that probability that at least 3 customers make a purchase

c. Find the probability that two or fewer customers make a purchase

d. Find the probability that at least one customer makes a purchase.

e. As the manager of the department store, how should store associates persuade customers who enter the store to make a purchase?