C to E KAssume a Poisson distribution. Find the following probabilities.a. Let λ = 7.0, find P(X≥ 3).b. Let λ = 0.5, find P(X ≤ 1).c. Let λ = 2.0, find P(X≤ 2).d. Let λ = 3.6, find P(X≥ 1).e. Let λ = 5.4, find P(X ≤ 3).a. When λ = 7.0, P(X≥ 3) =(Round to three decimal places as needed.)b. When λ = 0.5, P(X≤1)=(Round to three decimal places as needed.)c. When λ = 2.0, P(X≤2) =(Round to three decimal places as needed.)d. When λ = 3.6, P(X≥ 1) =(Round to three decimal places as needed.)e. When λ = 5.4, P(X ≤ 3) =(Round to three decimal places as needed.)Nextv bySAT4110 of 8

Let random variable x~Poisson(λ)P(X=x)=e-λ×λxx! ; x≥0

Answered: c. Let λ = 2.0, find P(X ≤ 2). d. Let λ…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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c. Let λ = 2.0, find P(X ≤ 2). d. Let λ = 3.6, find P(X≥ 1). e. Let λ = 5.4, find P(X ≤ 3).