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If the probability density of X is given by f(x) = { 2re-, for x>0; 0, elsewhere, and Y = X, find the probability

If the probability density of ( X ) is given by [ f(x)=left{begin{array}{ll} 2 x e^{-x^{2}}, & text { for } x>0  0,

If the probability density of X is given by f(x) = { 2re-, for x>0; 0, elsewhere, and Y = X, find the probability density of Y using the distribution function technique. Redo Q1 (i.e., find the density of Y) using the transformation technique.

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