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Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x),...

Let X be a random variable with the probability density function fx(x) given by:

fx(x)=

1/4(2-x), 0<x<2

1/4(x-2), 2<=x<4

0, otherwise.

Let Y=|X-3|. Compute the probability density function of Y.

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