MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Consider the random variables with \(X\) and \(Y\) with joint density function given by \[ f(x, y) = \begin{cases} k(y + x) & \text{when } x, y \in [0, 2] \\ 0 & \text{else} \end{cases} \] a. Find the marginal density of \(X\) and \(Y\). b. Find \(P(X > 1 \mid Y = 1)\).
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Transcribed Image Text:Consider the random variables with \(X\) and \(Y\) with joint density function given by \[ f(x, y) = \begin{cases} k(y + x) & \text{when } x, y \in [0, 2] \\ 0 & \text{else} \end{cases} \] a. Find the marginal density of \(X\) and \(Y\). b. Find \(P(X > 1 \mid Y = 1)\).
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