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Question 6.1: Find the PDF of Y in terms of the PDF of X if Y=2X+7....

Find the PDF of Y in terms of the PDF of X if Y=2X+7.

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From the results obtained above,

\,\displaystyle F_Y\left (y\right )=F_X\left (\frac{y-7}{2}\right )\\ \,\displaystyle f_Y\left (y\right )=\frac{d}{d y} F_Y\left (y\right )=\left (\frac{1}{2}\right ) f_X\left (\frac{y-7}{2}\right )

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