(Step-by-Step) [5 + 5 = 10 pts] Suppose X has PDF f_X(x)=λ e^-λ x, x≥ 0 and Y = min(X,1). Find (a) the transform associated to Y and (b)
Question: [5 + 5 = 10 pts] Suppose X has PDF
\[{{f}_{X}}\left( x \right)=\lambda {{e}^{-\lambda x}},\,\,\,x\ge 0\]and Y = min(X,1). Find (a) the transform associated to Y and (b) use it to find the mean of Y.
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