Question: I don't know how to solve it. Can you explain why? A random variable X has some pdf given by fx (x). (a) Determine a

I don't know how to solve it. Can you explain why?

A random variable X has some pdf given by fx (x). (a) Determine a function Y = g1(x) so that the random variable Y is uniformly distributed over the interval (0, 1). In image processing this technique is known as histogram equal- ization. (b) Next, we want to transform uniformly distributed Y into random variable W using a func- tion W = 82(Y) so that W has a specified pdf fw (w). Determine w = g2(y). In image pro- cessing the technique involving the compound function w = g(x) - g2 g1(x) is known as histogram specification. (c) Let fx (x) be fx(x) = x/2 0

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