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# A type of elevator has a maximum weight capacity Y1, which

ISBN: 9780495110811 47

## Solution for problem 42E Chapter 6

Mathematical Statistics with Applications | 7th Edition

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Problem 42E

A type of elevator has a maximum weight capacity Y1, which is normally distributed with mean 5000 pounds and standard deviation 300 pounds. For a certain building equipped with this type of elevator, the elevator’s load, Y2, is a normally distributed random variable with mean 4000 pounds and standard deviation 400 pounds. For any given time that the elevator is in use, find the probability that it will be overloaded, assuming that Y1 and Y2 are independent.

Step-by-Step Solution:

Step 1 of 2:

Let = evaluator has a maximum weight capacity

~ N(5000, 300)

= for certain building equipped with this type of evaluator, the evaluator’s load.

~ N(4000, 400)

The claim is to find the probability that it will be overloaded.

Step 2 of 2

##### ISBN: 9780495110811

Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. The answer to “A type of elevator has a maximum weight capacity Y1, which is normally distributed with mean 5000 pounds and standard deviation 300 pounds. For a certain building equipped with this type of elevator, the elevator’s load, Y2, is a normally distributed random variable with mean 4000 pounds and standard deviation 400 pounds. For any given time that the elevator is in use, find the probability that it will be overloaded, assuming that Y1 and Y2 are independent.” is broken down into a number of easy to follow steps, and 77 words. This full solution covers the following key subjects: pounds, elevator, normally, deviation, standard. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Since the solution to 42E from 6 chapter was answered, more than 389 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The full step-by-step solution to problem: 42E from chapter: 6 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM.

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