Given that x has a Poisson distribution with u = 2, what is the probability that x = 4? ... P(4) (Round to four decimal places as needed.)

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A: a)  Given that X follows an uniform distribution between 0 and 12.This means X~U(0, 12)

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A: We have given in the question: P(30≤X≤79)=0.26P(X>79)=0.17

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A: Given that,X follows Poisson distributionMean = 1.6

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Q: y -2 1 4 -1 0.2 0.1 0.2 3 0.1 0.2 0.1 0.1

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A: Step 1 :The binomial distribution probability is:P(X=x)=nCx​px(q)n−xwhere ::: x represents the total…