Question: 2. Let X be a random variable With probability density function C 96) = V1 x2 0 if x g (1,1) if x e (1,1)

2. Let X be a random variable With probability density function C \"96) = V1 x2 0 if x g (1,1) if x e (1,1) (a) (5 points) What is the value of c? (b) (5 points) What is the cumulative distribution function of X? (c) (10 points) Compute E [X] and Var [X] 3. (10 points) Let X be uniformly distributed between 1 and 1. Compute the cumulative distribution and probability density function of Y = X 4

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