Question: Let X be a random variable with cumulative distribution function F(x)={0 where x <0, x/4+3x2/4 where 0

Let X be a random variable with cumulative distribution function F(x)={0 where x<0, x/4+3x2/4 where 0<=x<=1, 1 where x >1}. a. Find (1 < < 1/3 ). b. Find the mean and variance of X. c. Find the probability density function of Y = sqrootX .

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