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# The area covered by 1 L of a certain stain is normally ISBN: 9780073401331 38

## Solution for problem 18E Chapter 4.5

Statistics for Engineers and Scientists | 4th Edition

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Problem 18E

The area covered by 1 L of a certain stain is normally distributed with mean 10 m2 and standard deviation 0.2 m2.

a. What is the probability that 1 L of stain will be enough to cover 10.3 m2?

b. What is the probability that 2 L of stain will be enough to cover 19.9 m2?

Step-by-Step Solution:

Step 1 of 2:

(a)

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

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 10.3 area is 0.9332.

Step 2 of 2

##### 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 m2 and standard deviation 0.2 m2.a. What is the probability that 1 L of stain will be enough to cover 10.3 m2?________________b. What is the probability that 2 L of stain will be enough to cover 19.9 m2?” is broken down into a number of easy to follow steps, and 54 words. Since the solution to 18E from 4.5 chapter was answered, more than 1154 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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