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Resistors labeled 100 ? have true resistances that are

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 13E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 13E

Problem 13E

Resistors labeled 100 Ω have true resistances that are between 80 Ω and 120 Ω. Let X be the mass of a randomly chosen resistor. The probability density function of X is given by

a. What proportion of resistors have resistances less than 90 Ω?

b. Find the mean resistance.

c. Find the standard deviation of the resistances.

d. Find the cumulative distribution function of the resistances.

Step-by-Step Solution:

Solution

Step 1 of 4

Let X be the mass of a randomly selected resistor

The probability density function is given as

,  80<x<120

         =0, otherwise

a)  By using the given pdf we have to find the probability of the resistors having  resistance  less than 90

      

                         =

                                                =

                 =0.0625

 the probability of the resistors having  resistance  less than 90 is 0.0625


Step 2 of 4

Chapter 2.4, Problem 13E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The answer to “Resistors labeled 100 ? have true resistances that are between 80 ? and 120 ?. Let X be the mass of a randomly chosen resistor. The probability density function of X is given by a. What proportion of resistors have resistances less than 90 ??________________b. Find the mean resistance.________________c. Find the standard deviation of the resistances.________________d. Find the cumulative distribution function of the resistances.” is broken down into a number of easy to follow steps, and 64 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 13E from 2.4 chapter was answered, more than 2639 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 13E from chapter: 2.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: Resistances, Find, resistors, function, mass. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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Resistors labeled 100 ? have true resistances that are