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The area covered by 1 L of a certain stain is normally

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

Solution for problem 18E Chapter 4.5

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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1
Problem 18E

The area covered by 1 L of a certain stain is normally distributed with mean 10\(m^{2}\) and standard deviation 0.2\(m^{2}\).

a. What is the probability that 1 L of stain will be enough to cover 10.3\(m^{2}\)?

b. What is the probability that 2 L of stain will be enough to cover 19.9\(m^{2}\)?

Equation transcription:

Text transcription:

m^{2}

Step-by-Step Solution:

Answer:

Step 1 of 2:

(a)

In this question, we are asked to find the probability that 1 of stain will be enough to cover 10.3area.

The area covered by  of a certain stain is normally distributed with mean  and standard deviation 0.2 .

 Let  be the area.

We need to find .

Here we can write,

Now we will calculate the  score because our distribution is approximately normal.

The z-score of 10.3 is z  =

From the z table, the area to the left of  is 0.9332.

therefore

Hence the probability that 1 of stain will be enough to cover 10.3area is 0.9332.


Step 2 of 2

Chapter 4.5, Problem 18E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: stain, enough, cover, Probability, area. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “?The area covered by 1 L of a certain stain is normally distributed with mean 10\(m^{2}\) and standard deviation 0.2\(m^{2}\).a. What is the probability that 1 L of stain will be enough to cover 10.3\(m^{2}\)?b. What is the probability that 2 L of stain will be enough to cover 19.9\(m^{2}\)?Equation transcription:Text transcription:m^{2}” is broken down into a number of easy to follow steps, and 52 words. Since the solution to 18E from 4.5 chapter was answered, more than 1881 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 18E from chapter: 4.5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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The area covered by 1 L of a certain stain is normally