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Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 196se
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 196se

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# Refer to Exercise 3.195. The cost of repairing the

ISBN: 9780495110811 47

## Solution for problem 196SE Chapter 3

Mathematical Statistics with Applications | 7th Edition

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Problem 196SE

Problem 196SE

Refer to Exercise 3.195. The cost of repairing the imperfections in the weave is \$10 per imperfection. Find the mean and standard deviation of the repair cost for an 8-square-yard bolt of the textile.

Reference

The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of 4 per square yard. Find the probability that a

a 1-square-yard sample will contain at least one imperfection.

b 3-square-yard sample will contain at least one imperfection.

Step-by-Step Solution:
Step 1 of 3

Solution 196SE

Step1 of 2:

We have the cost of repairing the imperfections in the weave is \$10 per imperfection.

We need to find the mean and standard deviation of the repair cost for an 8-square-yard bolt of the textile.

Step2 of 2:

From Exercise 3.195 we have

Here they have given 8 square yard bolt of the textile.

Now,

The cost is the product of the cost per imperfections and the number of imperfections:

We know that mean and variance of poisson distribution and it is given as:

Mean of Y is given by:

= 320

Therefore, Mean of Y is 320.

Variance of Y is given by:

= 3200

Therefore, Variance of Y is 3200.

Now,

Standard deviation of Y is given by:

= 56.5685

Therefore, Standard deviation of Y is 56.5685.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780495110811

Since the solution to 196SE from 3 chapter was answered, more than 590 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Yard, square, imperfection, Find, textile. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “Refer to Exercise 3.195. The cost of repairing the imperfections in the weave is \$10 per imperfection. Find the mean and standard deviation of the repair cost for an 8-square-yard bolt of the textile.ReferenceThe number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of 4 per square yard. Find the probability that aa 1-square-yard sample will contain at least one imperfection.b 3-square-yard sample will contain at least one imperfection.” is broken down into a number of easy to follow steps, and 77 words. The full step-by-step solution to problem: 196SE from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811.

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