Question: The density function of a random variable X is given by f (x) = ????x, 1 < x 1, ????e3x, x > 1,

The density function of a random variable X is given by f (x) =

⎧⎪⎨⎪⎩

−????x, −1 < x ≤ 1,

????e−3x, x > 1, 0, elsewhere.

Find the values of ???? and ???? if it is known that E(X) = 1.

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