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Refer to Exercise 3. Suppose that the diameters of 10

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

Solution for problem 5E Chapter 4.7

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 5E

Refer to Exercise 3. Suppose that the diameters of 10 pores are independent.

a. Find the probability that more than seven of them have diameters less than 3 microns.

b. Find the probability that exactly one of them has a diameter greater than 11 microns.

Step-by-Step Solution:

Solution

Step 1 of 4

Given that the ten pores of the diameter are independent

Here n=10

The pmf of exponential distribution is

The CDF of exponential distribution is

Here

a) Here we have to find the probability that greater than 7 pores having the diameter less than 3 microns

The probability of less than 3 microns is P(X<3)=1-

                 =1-0.4724

             =0.5276


Step 2 of 4

Chapter 4.7, Problem 5E is Solved
Step 3 of 4

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

The answer to “Refer to Exercise 3. Suppose that the diameters of 10 pores are independent.a. Find the probability that more than seven of them have diameters less than 3 microns.________________b. Find the probability that exactly one of them has a diameter greater than 11 microns.” is broken down into a number of easy to follow steps, and 43 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 5E from chapter: 4.7 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 5E from 4.7 chapter was answered, more than 792 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: diameters, Probability, microns, Find, independent. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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Refer to Exercise 3. Suppose that the diameters of 10