Question: Suppose X has the pdf f(x): { = x 2 x - 0 0 x 1 1 < x < 2 otherwise Let Y

Suppose X has the pdf f(x): { = x 2 x -

Suppose X has the pdf f(x): { = x 2 x - 0 0 x 1 1 < x < 2 otherwise Let Y = 2-X. Find the 75th percentile for Y. (b) Let Y = (X 1)2. Find the 50th percentile for Y. (c) Let U = X - [X]. Derive the pdf for U. Does U have a uniform distribution over (0, 1)? (d) Refer to (c). Compute E (U) and Var (U).

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