On St. Patrick’s Day, men spend an average of $43.87 while women spend an average of $29.54 (USA TODAY, March 17, 2009). Assume the standard deviations of spending for men and women are $2.50 and $9.00, respectively, and that both distributions are normally distributed.

a. What is the probability that men spend over $50 on St. Patrick’s Day?

b. What is the probability that women spend over $50 on St. Patrick’s Day?

c. Are men or women more likely to spend over $50 on St. Patrick’s Day?