Question: 1. Let X be a random variable with probability density function fX(x) = ( 0 otherwise, C(1 x 2 ) 1 x 1, for some

1. Let X be a random variable with probability density function fX(x) = ( 0 otherwise, C(1 x 2 ) 1 x 1, for some constant C. (a) What is the value of C? (b) Compute the cumulative distribution function FX of X. (c) Find E[X] and Var(X). (d) Find the density function of X2

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