What are the mean and standard deviation of a probability

Zugdichte2r

Zugdichte2r

Answered question

2022-01-28

What are the mean and standard deviation of a probability density function given by Pr(X=k)=3ke3k! for k{0,1,2...}?

Answer & Explanation

stamptsk

stamptsk

Beginner2022-01-29Added 23 answers

We can recognize that is the PMF of Poisson distribution with λ=3
The pmf of Poisson distribution is λkeλk!
And the mean is μ=λ=3, and the standard deviation is σ=λ=3=1.73
Mean is 3, standard deviation is 1.732

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