The total annual precipitation for a region is approximately normally distributed with a mean of 1050 mm and a standard deviation of 400 mm. What is the probability of an annual precipitation greater than 1050 mm but less than 1300?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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The total annual precipitation for a region is approximately normally
distributed with a mean of 1050 mm and a standard deviation of 400 mm. What is
the probability of an annual precipitation greater than 1050 mm but less than 1300?

Answer = 19.5

Expert Solution
Step 1

Given information-

Population mean, µ = 1050 mm

Population standard deviation, σ = 400 mm

Let, X be the total annual precipitation for a region is approximately normally distributed.

We have to find the probability of an annual precipitation greater than 1050 mm but less than 1300.

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