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Let Y be a random variable with mean 11 and variance 9.

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

Solution for problem 167E Chapter 3

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 167E

Problem 167E

Let Y be a random variable with mean 11 and variance 9. Using Tchebysheff’s theorem, find

a a lower bound for P(6 < Y < 16).

b the value of C such that P(|Y − 11| ≥ C) .09.

Step-by-Step Solution:

Solution

Step 1 of 2

a) We have to lower bound for

Given mean=11

And Variance( =9

                             =3

By Tchebysheff’s theorem

                               

                               

Here given that

Now  And

         11-3k=6     and    11+3k=16

By solving above 2 equations we can get the values of  ‘k’

Then k=5/3

Now  

                                    =1-(9/25)

                                    =16/25

                                    =0.64

Hence the lower bound is 0.64


Step 2 of 2

Chapter 3, Problem 167E is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. This full solution covers the following key subjects: Bound, Find, let, Lower, mean. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “Let Y be a random variable with mean 11 and variance 9. Using Tchebysheff’s theorem, finda a lower bound for P(6 < Y < 16).b the value of C such that P(|Y ? 11| ? C) ? .09.” is broken down into a number of easy to follow steps, and 38 words. The full step-by-step solution to problem: 167E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. Since the solution to 167E from 3 chapter was answered, more than 895 students have viewed the full step-by-step answer.

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Let Y be a random variable with mean 11 and variance 9.