The gap width is an important property of a magnetic

Chapter 4, Problem 27E

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QUESTION:

Problem 27E

The gap width is an important property of a magnetic recording head. In coded units, if the width is a continuous random variable over the range from 0 < x < 2 with f (x) = 0.5x, determine the cumulative distribution function of the gap width. Determine the probability density function for each of the following cumulative distribution functions.

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QUESTION:

Problem 27E

The gap width is an important property of a magnetic recording head. In coded units, if the width is a continuous random variable over the range from 0 < x < 2 with f (x) = 0.5x, determine the cumulative distribution function of the gap width. Determine the probability density function for each of the following cumulative distribution functions.

ANSWER:

Solution:

Step 1 of 2:

     Given the probability density function is

       

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