Let X have a gamma distribution with parameters alpha and theta where alpha>1. Find E(1/X).
Added by John L.
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We can use the definition of expected value for a continuous random variable: E(1/X) = \int_{0}^{\infty} \frac{1}{x} f(x) dx Substitute the pdf of the gamma distribution: E(1/X) = \int_{0}^{\infty} \frac{1}{x} Show more…
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