If three random variables have the joint density [f(x, y, z)=left{begin{array}{lc}k(x+y) e^{-z} & text { for }

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If three random variables have the joint density

\[f(x, y, z)=\left\{\begin{array}{lc}k(x+y) e^{-z} & \text { for } 00 \\0 & \text { elsewhere }\end{array}\right.\]

find

(a) the value of $k$;

(b) the probability that $X>Y$ and $Z>1$.

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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Question Posted: Apr 23, 2024 07:00 AM

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If three random variables have the joint density [f(x, y, z)=left{begin{array}{lc}k(x+y) e^{-z} & text { for }

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Probability And Statistics For Engineers

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