Chapter 13.7, Problem 43E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Repair time** In a manufacturing process involving several machines, the average down time

Find the probability that a failed machine’s down time is (a) 2 hours or more. (b) 8 hours or more.

**(a)**

To determine

**To calculate:** The probability that a failed machine’s down time is

Explanation

**Given Information:**

The average down time

**Formula used:**

When

According to the exponential rule of integrals,

**Calculation:**

It is provided that the average down time

Now, the formula for probability for continuous probability density function is,

Thus, to obtain the probability that a failed machine’s down time is

Now, use the exponential rule of integrals to obtain,

**(b)**

To determine

**To calculate:** The probability that a failed machine’s down time is

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