Question: 13. The random variable X is called double exponentially distributed if its density function is given by f (x) = ce|x| , < x

13. The random variable X is called double exponentially distributed if its density function is given by f (x) = ce−|x| , −∞ < x < +∞.

(a) Find the value of

c.

(b) Prove that E(X2n) = (2n)! and E(X2n+1) = 0.

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