Question: $$ Let $X$ be a random variable with probability density function f(x)=left{begin{array}{cc) Vlambda e^{-lambda x} & 0 leq x0$. Compute the probability density function of

$$ Let $X$ be a random variable with probability density function

$$ Let $X$ be a random variable with probability density function f(x)=\left\{\begin{array}{cc) Vlambda e^{-\lambda x} & 0 \leq x0$. Compute the probability density function of $X^{\alpha) $ for arbi$\operatorname{trary} \alpha>0$. SP.DL.2291

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