Question: Let X be a random variable uniformly distributed on the interval [2, 2], and Y = (X 1)2. (a) Find the density function and

Let X be a random variable uniformly distributed on the interval

[−2, 2], and Y = (X − 1)2.

(a) Find the density function and the distribution function of X.

(b) Find the distribution function and the density function of Y .

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