18. Let X denote the voltage at the output of a microphone, and suppose that X has...

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18. Let X denote the voltage at the output of a microphone, and suppose that X has a uniform distribution on the interval from 1 to 1. The voltage is processed by a “hard limiter”

with cutoff values .5 and .5, so the limiter output is a random variable Y related to X by Y X if |X| .5, Y .5 if X .5, and Y .5 if X .5.

a. What is P(Y .5)?

b. Obtain the cumulative distribution function of Y and graph it.

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 08:00 AM

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