Transforming exponential distributions (a) Let X have an exp(1/2) distribution. Determine the distri


Question: Transforming exponential distributions

(a) Let X have an exp(1/2) distribution. Determine the distribution of \(\frac{1}{2}X\). What kind of distribution does \(\frac{1}{2}X\) have?

(b) Let \(X\) have an exp( \(\lambda \) ) distribution. Determine the distribution of \(\lambda X\).

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