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The pH of water samples from a specific lake is a random

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 33E Chapter 4

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 33E

The pH of water samples from a specific lake is a random variable Y with probability density function given by

a Find E(Y ) and V (Y ).

b Find an interval shorter than (5, 7) in which at least three-fourths of the pH measurements must lie.

c Would you expect to see a pH measurement below 5.5 very often? Why?

Step-by-Step Solution:

Solution:

Step 1 of 3:

             Given the probability density function is

               

   a). To find E(y) and V(y).

           

                   

                      =

                     

                           

                           = 5.5

       

                   

                   

                    =

                    = 30.4

   Then the variance of Y is

       

                 

                  = 0.15

     


Step 2 of 3

Chapter 4, Problem 33E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

The answer to “The pH of water samples from a specific lake is a random variable Y with probability density function given by a Find E(Y ) and V (Y ).b Find an interval shorter than (5, 7) in which at least three-fourths of the pH measurements must lie.c Would you expect to see a pH measurement below 5.5 very often? Why?” is broken down into a number of easy to follow steps, and 59 words. Since the solution to 33E from 4 chapter was answered, more than 1341 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The full step-by-step solution to problem: 33E from chapter: 4 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. This full solution covers the following key subjects: Find, measurements, expect, below, fourths. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811.

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The pH of water samples from a specific lake is a random