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Find the pdf of the transformation y

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Reference no: EM132643359

Consider the distribution fX(x) = θx^(θ-1) where 0 < x < 1 and 0 < θ < ∞.

a) Show that this is a pdf.

b) Compute the mean and variance of X.

c) Find the pdf of the transformation Y = X^2 and verify that it integrates to one.

d) Using your results in c), compute the mean of Y . How does this compare with your results in b)?

Reference no: EM132643359

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