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4.65 Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following: a. P(a ≤ 2) when λ = 1 b. P(x ≤2) when λ = 2 c. P(x ≤2) when λ = 3 d. What happens to the probability of the event { ≤ 2} as λ increases from 1 to 3? Is this intuitively reasonable?

4.65 Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following: a. P(a ≤ 2) when λ = 1 b. P(x ≤2) when λ = 2 c. P(x ≤2) when λ = 3 d. What happens to the probability of the event { ≤ 2} as λ increases from 1 to 3? Is this intuitively reasonable?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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part a, c, and d 

4.65 Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following: a. P(x ≤ 2) when λ = 1 b. P(x2) when λ = 2 c. P(x ≤ 2) when λ = 3 d. What happens to the probability of the event { ≤ 2} as λ increases from 1 to 3? Is this intuitively reasonable?
Transcribed Image Text:4.65 Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following: a. P(x ≤ 2) when λ = 1 b. P(x2) when λ = 2 c. P(x ≤ 2) when λ = 3 d. What happens to the probability of the event { ≤ 2} as λ increases from 1 to 3? Is this intuitively reasonable?
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