LetX ∼ P oisson(λ). Prove that E[X(X −1)] = λ 2 and use this result to show that var(X) = λ.
LetX ∼ P oisson(λ). Prove that E[X(X −1)] = λ 2 and use this result to show that var(X) = λ.
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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LetX ∼ P oisson(λ). Prove that E[X(X −1)] = λ 2 and use this result to show that var(X) = λ.
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