What are the mean and standard deviation of a probability

Clare Baldwin

Clare Baldwin

Answered question

2022-01-29

What are the mean and standard deviation of a probability density function given by Pr(X=k)=80ke80k! for k{0,1,2...}?

Answer & Explanation

Messiah Haynes

Messiah Haynes

Beginner2022-01-30Added 7 answers

Explanation: P(x=k)=80ke80k!,k{0,1,2,3...} is a Poisson distribution, the standard formula being: P(x=k)=λkeλk!,k{0,1,2,3...} the mean and variance are given by E(X)=λ Var(X)=λ the proof of these results can be found from a search on the web. the sd is the square root of the variance hence the results E(X)=80, Var(X)=80 sd=80

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