[Solution Library] [5 + 5 = 10 pts] Let X and Y be independent with common marginal PDF f(t)=5e^-5t, t≥ 0 Find (a) the PDF of 3X + 2Y using convolution rule
Question: [5 + 5 = 10 pts]
Let X and Y be independent with common marginal PDF
\[f\left( t \right)=5{{e}^{-5t}},\,\,\,t\ge 0\]Find (a) the PDF of 3X + 2Y using convolution rule and (b) use that to find its variance.
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