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To boost holiday sales, a jewelry store in Bismarck, North Dakota, is
advertising the following promotion: “If more than seven inches of
cumulative snow fall on December 24, 25, 26, 27 and 28, you get your
money back on all purchase made on December 17.” To analyze this
promotion, the store manager has collected data and determined that
snowfall over this 5 day period in December is normally distributed with
an average of 6 inches and standard deviation of 0.559 inches. What is
the probability that the store will have to refund the money to its
December 17 customers?