Question: f(a) Let X be a rv with cdf Fx (x). Let Y be the output of a quantizer Y = g(X ), where for e

$\f(a) Let X be a rv with cdf Fx (x). Let$ Y be the output of a quantizer Y = g(X ), where

\f(a) Let X be a rv with cdf Fx (x). Let Y be the output of a quantizer Y = g(X ), where for e 0. (i) What is the set of all possible outcomes of the rv Y? (ii) Plot the cdf Fy(y) as a function of y, clearly indicating all relevant values on both axes. (iii) Plot the pdf fy(y) as a function of y, clearly indicating all relevant values on both axes. (iv) Assume that X ~ /(0, 4). Plot the pmf py (y) as a function of y, clearly indicating all relevant values on both axes

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