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Suppose X follows a Gamma distribution with parameters α, β, and the following density function f(x)=...

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Statistics

Suppose X follows a Gamma distribution with parameters α, β, andthe following density function f(x)= [x^(α−1)e^(−x/ β)]/ Γ(α)β^α .Find α and β so that E(X)= Var(X)=1. Also find the median for therandom variable, X.

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SolutionLet XGamma distributionTherefore pdf of X is given asMean and variance of    See Answer
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