Calculate λ with known cdf

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1

X follows Poisson distribution,

X = Poisson(λ)

, how to calculate λ if we know the probability of x being 3 or less is 0.82, that is

cdf(X,3) = 0.82

. is there any syntax or solver?

2

You can use find_zero in Roots.jl to solve this:

julia> using Distributions, Roots

julia> find_zero(λ -> cdf(Poisson(λ), 3) - .82, 2)
2.1967047830443853
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3

thank you