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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?

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  • $\begingroup$ Are $X, Y$ independent? Does this help? $\endgroup$
    – Dayne
    Commented Nov 16, 2020 at 16:43
  • $\begingroup$ This stats.stackexchange.com/questions/18152/… in not (yet) a duplicate because it does have only a link-answer $\endgroup$ Commented Nov 16, 2020 at 17:08
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    $\begingroup$ You could apply any of the five methods I describe at 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? $\endgroup$
    – whuber
    Commented Nov 16, 2020 at 17:20

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