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Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1,...

Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1, 0 otherwise}.

a) What is the value of c?

b) What is the cumulative distribution function of X?

c) Compute E(X) and Var(X).

Math   Statistics-And-Probability   
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