4-57. Suppose the continuous random variable X has a probability density function of the exponential variety or
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4-57. Suppose the continuous random variable X has a probability density function of the exponential variety or f (x) = -1
λ e−x/λ, x ≥ 0, λ > 0;
0 elsewhere.
Verify that the moment-generating function of X is mX(t) = (1 − λt)−1, t < λ
−1.
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Related Book For
Advanced Statistics From An Elementary Point Of View
ISBN: 9780120884940
1st Edition
Authors: Michael J Panik
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