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PDF of $X$: enter image description here

PDF of $Y$: enter image description here

$Z=X-Y$, $T=X+2Y$, how to find the PDF of $Z$ and $T$ and plot them?

kjetil b halvorsen
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Charlotte
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  • Are $X, Y$ independent? Does this help? – Dayne Nov 16 '20 at 16:43
  • This https://stats.stackexchange.com/questions/18152/distribution-of-the-difference-of-two-independent-uniform-variables-truncated-a in not (yet) a duplicate because it does have only a link-answer – kjetil b halvorsen Nov 16 '20 at 17:08
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    You could apply any of the five methods I describe at https://stats.stackexchange.com/a/43075/919. But are you asking how to find the joint pdf of $(Z,T)$ or to find their marginal pdfs separately? – whuber Nov 16 '20 at 17:20

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