Question: Rochester, New York, averages \(\mu \) = 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of \(\sigma \) = 6.5 inches. This year, a local jewelry store is advertising a refund of 50% off all purchases made in December, if we finish the month with more than 3 feet (36 inches) of total snowfall. What is the probability that the jewelry store will have to pay off on its promise?