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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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

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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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