Assume a Poisson distribution. Find the following probabilities. a. Let A = 8.0, find P(X 2). b. Let = 0.5, find P(X < 1). c. Let A = 2.0, find P(X s 3). d. Let 1 = 4.1, find P(X2 1). e. Let = 5.1, find P(X< 2).

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A: Answer:----.               Date:----11/10/2021

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Q: 2.7-1. Let X have a Poisson distribution with a mean of 4. Find (a) P(3 ≤X ≤ 5). (b) P(X ≥ 3). (c)…

A: Given that X have a Poisson distribution with a mean of 4.

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Q: Assume a Poisson distribution. Find the following probabilities. a. Let λ = 5.0, find P(X ≥ 2). b.…

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Q: Assume a Poisson distribution. Find the following probabilities. a. Let λ = 7.0, find P(X > 3). b.…

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

Q: Assume a Poisson distribution. Find the following probabilities. a. Let λ = 7.0, find P(X22). b. Let…

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A: a.)x01234P(x).45.21.13.12.09F(x) 0.45 0.660.790.911b.) E(X) = 1.19Explanation:a.) F(x) = P(X≤x)(To…

Q: 4. If T follows a 17 distribution, find to such that (a) P(T| to) = .05.

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