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Gamma Distribution and Probability Density Function

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Suppose the X1 and X2 denote a random sample of size 2 from a gamma distribution, (see attached file). This is Gamma distribution.
a) Find the pdf (probability density function) of Y = (X1 + X2)^1/2
b) Find the pdf (probability density function) of W = X1/X2

In this problem you have to find for the pdf in part a and b, they don't ask the pdf of both together. You must find the pdf of Y and pdf of W.

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Solution Summary

This solution calculates the pdf of Y and W with step-by-step workings and all formulas used are shown for further understanding.

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