5. A continuous random variable X has the following cumulative distribution function (cdf). 0, Fx(x) = (x – 1)², 1 3 5.2 Give the probability density function (pdf) of X, fx(x). 5.3 Give the mean of X, E[X]. 5.4 Give the variance of X, Var[X].

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5. A continuous random variable X has the following cumulative distribution function (cdf).
x < 1
Fx(x) = {(x – 1)², 1<x< 3.
x 2 3
0,
1,
5.2 Give the probability density function (pdf) of X, fx (x).
5.3 Give the mean of X, E[X].
5.4 Give the variance of X, Var[X].
Transcribed Image Text:5. A continuous random variable X has the following cumulative distribution function (cdf). x < 1 Fx(x) = {(x – 1)², 1<x< 3. x 2 3 0, 1, 5.2 Give the probability density function (pdf) of X, fx (x). 5.3 Give the mean of X, E[X]. 5.4 Give the variance of X, Var[X].
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