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# Refer to Exercise 16. A competing process produces rings ISBN: 9780073401331 38

## Solution for problem 17E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 17E

Refer to Exercise 16. A competing process produces rings whose diameters (in centimeters) vary according to the probability density function Specifications call for the diameter to be 10.0±0.1 cm. Which process is better, this one or the one in Exercise 16? Explain.

Step-by-Step Solution:

Step 1 of 3:

The probability density function is The probability that the diameter of a randomly chosen piston ring:

Given the diameter to be  Step 2 of 3:

Then, the probability that a ring meets the specification is = F(10.1) - F(9.9)

Since, the cumulative distribution function is , it follows that = F(10.1) - F(9.9)

= = Then, = =  =  = 0.641.

Step 3 of 3

##### ISBN: 9780073401331

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