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 purchases 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? If required, round your answer to three decimal places.

Question

Mathematics

Trenton Whitehead

18 June, 06:37

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 purchases 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? If required, round your answer to three decimal places.

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Answers (1)

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Melanie Avila · Answer 1

about 0.037

Step-by-step explanation:

A suitable probability calculator can provide the probability that 7 inches will be exceeded. It is about 0.036815.

The probability the store will have to refund money is about 0.037.