Chapter 6, Problem 21P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Rochester. New York, averages μ *=* 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of σ = 6.5 inches. This year, a local jewelry store is advertising a refund of 50% off of all purchases made in December, if Rochester finishes 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?

To determine

**To find:** The probability of annual precipitation of more than 36 inches.

Explanation

**Given info:**

Data follows normal distribution with mean 21.9 and standard deviation 6.5 and the annual precipitation is found to be 36 inches.

**Calculation:**

Calculating the probability that annual precipitation of 36 inches or more then is,

The formula for finding the *z* score is,

Substitute 36 for X, 21.9 for

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