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November 8th, 2012, 01:58 AM   #1
Joined: Nov 2012

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Standard Normal Random Variable

Consider a Standard Normal Random Variable X~(0,1). Suppose X is passed through rectifier with input-output relation. Y = X for X is greater than or equal to 0, and Y=-X/2 for X is less than 0.

1. Find E[Y]
2. Find P[Y greater than or equal to 2]
3. The CDF of Y in terms of the CDF of X
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