Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X= 7) when λ = 1.5 P(X= 7) = (b) P(X ≤6) when λ = 0.5 P(X ≤ 6) = (c) P(X> 4) when λ = 4 P(X > 4) = (d) P(X < 8) when λ = 0.5 P(X < 8) =

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Q: a) P(X=5) when λ=2.5 P(X=5)= (b) P(X≤5) when λ=4 P(X≤5)= (c) P(X>3) when λ=0.5 P(X>3)=

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A: As per our guidelines we can solve first multiple-choice question and rest can be reposted.…

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A: Solution:- From given information  mean x¯ =9.1standard deviation σ=0.2sample size n=58