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Let X = U_(7) and Y = U_(9) are the seventh and ninth smallest order statistics from 10 i.i.d. Uniform (0,1) random variables. (a) Find

Let X = U_(7) and Y = U_(9) are the seventh and ninth smallest order statistics from 10 i.i.d. Uniform (0,1) random variables.

(a) Find the joint density of X, Y .

(b) Use the convolution formula to identify the distribution (include parameters) of Z = Y X.

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