Given that X is a random variable havinga Poisson(X) distribution, compute the following:(a) P(X = 3) when λ = 2.5P(X = 3) =(b) P(X ≤ 9) when λ = 0.5P(X ≤ 9) =(c) P(X > 9) when λ = 2.5P(X > 9) =(d) P(X < 6) when AP(X < 6) == 3.5

We know that, The probability mass function is, P(X=x) = (e-λ×λx)/x! Where, λ > 0 x = 0, 1,…

Answered: Given that X is a random variable…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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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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Given that X is a random variable having a Poisson(X) distribution, compute the following: (a) P(X = 3) when A P(X = 3) = = 2.5 (b) P(X ≤ 9) when A 0.5 P(X ≤ 9) = (c) P(X > 9) when λ = 2.5 P(X > 9) = (d) P(X < 6) when λ = 3.5 P(X < 6) =