According to the NPD Group, 70% of the basketball shoes purchased by American men are never worn on a basketball court. Answer the following questions based on a random sample of 13 men who purchased basketball shoes:

a. What is the probability that 12 men will not use their shoes on a basketball court?

b. What is the probability that more than 10 men will not use their shoes on a basketball court?

c. What is the probability that less than 12 men will not use their shoes on a basketball court?

d. Construct a histogram for this distribution. e. Suppose that out of the 13 men, 5 will not use their shoes on a basketball court. What conclusions can be drawn about the claim by the NPD Group?