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Unformatted text preview: 1 } ( x 1 ) . (k) Let Y 1 = X 1 + X 2 Y 2 = X 1X 2 Find an expression for the joint probability density function for Y 1 and Y 2 . Are Y 1 and Y 2 independent? 2. The probability that the ±rst packet arrives at a certain network node at a time X given that the node comes online at a time Y is f X  Y ( x ) = b e( xy ) ≤ y ≤ x < ∞ x < y The probability that the node comes online at time Y is uniformly distributed between 0 and 1. (a) Find the joint probability density function f XY ( x , y ) . (b) Find f X ( x ) . 1...
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This note was uploaded on 03/01/2012 for the course EE 101 taught by Professor Munk during the Spring '12 term at Alaska Anch.
 Spring '12
 MUNK

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