The random variable X has a gamma(ax, 3) distribution; ie X has pdf: g-le-z/B for a > 0 and 0 otherwise. T(α)3⁰ fx(x) Show all workings for full marks. X-aß (a) Determine the pdf of Z (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings.

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