Let the probability density function of a random variable X be Show that f(x) e , n x 0 P(0 X 2n 2) 11 n 1 Hint Note that foxe dx T(n 1) n Use this to calculate E(X) and Var(X) Then apply Chebyshev's inequality

Question: Let the probability density function of a random variable X be Show that f(x) == e , n! x 0. P(0 < X <2n+2)

Let the probability density function of a random variable X be Show

Let the probability density function of a random variable X be Show that f(x) == e , n! x 0. P(0 < X 11 n+1 Hint: Note that foxe dx = T(n+1)=n!. Use this to calculate E(X) and Var(X). Then apply Chebyshev's inequality.

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