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g(x) = cx e x (0 < x < 1) is a probability density function, for some constant c. (a) What is the value of

g(x) = cxe^x (0 < x < 1) is a probability density function, for some constant c.

(a) What is the value of c ?

(b) Find Var(2+X), where X is a random variable with probability density function g(x).

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