On St. Patrick's Day, men spend an average of $43.87 while women spend an average of $29.54

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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 $3 and $11, 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?

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