Let . Use the definition of the variance of a continuous random variable (Equation or ) to show that .

Answer:

Step 1 of 2:

Given, Given,

Let x be a continuous random variable with probability density function

f(x) = ,

The claim is to prove that =

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Statistics For Engineers And Scientists - 4 Edition - Chapter 4.8 - Problem 15e

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Statistics For Engineers And Scientists - 4 Edition - Chapter 4.8 - Problem 15e

ISBN: 9780073401331
38

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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11

4

Problem 15E

Let . Use the definition of the variance of a continuous random variable (Equation or ) to show that .

Step-by-Step Solution:

##### Textbook: Statistics for Engineers and Scientists

##### Edition: 4

##### Author: William Navidi

##### ISBN: 9780073401331

Answer:

Step 1 of 2:

Given, Given,

Let x be a continuous random variable with probability density function

f(x) = ,

The claim is to prove that =

Step 2 of 2
###### Chapter 4.8, Problem 15E is Solved

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This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “?Let . Use the definition of the variance of a continuous random variable (Equation or ) to show that .” is broken down into a number of easy to follow steps, and 20 words. Since the solution to 15E from 4.8 chapter was answered, more than 323 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 15E from chapter: 4.8 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: Continuous, definition, equation, let, random. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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Let X ~ U (a, b). Use the definition of the variance of a