5 Let the probability density function of X be f (x) B ex if x 0 0 otherwise, for some 0 Using the method of distribution functions, calculate the probability density function of Y 3 X2

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Question: 5. Let the probability density function of X be f (x) = B ex if x 0 0 otherwise, for some > 0.

5. Let the probability density function of X be f (x) = B λe−λx if x ≥ 0 0 otherwise, for some λ > 0. Using the method of distribution functions, calculate the probability density function of Y = √3 X2.

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