   Chapter 6, Problem 21P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

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,

p=p(X>36)=1p(X<36)

The formula for finding the z score is,

z=Xμσ

Substitute 36 for X, 21.9 for μ and 6.5 for σ

z=3621.96.5=14

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