Question: 4-63. For a continuous random variable X with probability density function f (x) = -10e10x, x > 0; 0 elsewhere, find Xs moment generating function.

4-63. For a continuous random variable X with probability density function f (x) = -10e−10x, x > 0;

0 elsewhere, find X’s moment generating function. Verify that μ = σ = 1 10 . Then find the moment-generating function of X − μ. Demonstrate that m(1)

X−μ(0) =

μ1 = 0, m(2)

X−μ(0) = μ2.

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