Consider a continuous random variable X whose PDF is p(x) = { -x if x > 0 if x < 0. zer Suppose that X is lossy-compress

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Consider A Continuous Random Variable X Whose Pdf Is P X X If X 0 If X 0 Zer Suppose That X Is Lossy Compress 1 (123.65 KiB) Viewed 89 times

Consider a continuous random variable X whose PDF is p(x) = { -x if x > 0 if x < 0. zer Suppose that X is lossy-compressed to a binary Y such that a if x > 0 Y <-{% = -a if x < 0. (a) Determine the average distortion D. (b) Determine the value of a that minimizes the distortion in (a). Hint: solve for dD = 0. da