What are the mean and standard deviation of a probability density function given by Pr(X=k)=24ke−24k!...

Adrian Cervantes

Adrian Cervantes

Answered

2022-01-30

What are the mean and standard deviation of a probability density function given by Pr(X=k)=24ke24k! for k{0,1,2...}?

Answer & Explanation

gekraamdbk

gekraamdbk

Expert

2022-01-31Added 13 answers

Explanation: P(X=k)=24ke24k! for k{0,1,2...} is a Poisson distribution which is of teh form P(X=k)=λkeλk! for k{0,1,2...} This means that E(X)=λ and Var(X)=λ for the given distribution E(X)=24 Var(X)=24 sd=Var(X)=24=26

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