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Let X₁, X2,..., X, be independent random variables, each of which obeys Poisson's law am P(X, m) e-a m! with the same parameter a. Find the distribution series of the random variable Y prove that the centralized and normalized random variable (Y)/o, for no has a normal distribution. Σ' 1 X, and j=1 =

Let X₁, X2,..., X, be independent random variables, each of which obeys Poisson's law am P(X, m) e-a m! with the same parameter a. Find the distribution series of the random variable Y prove that the centralized and normalized random variable (Y)/o, for no has a normal distribution. Σ' 1 X, and j=1 =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 31CR
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Let X₁, X2₂,.. X₁ be independent random variables, each of which obeys Poisson's law P(X, = m) am m! e-a with the same parameter a. Find the distribution series of the random variable Y = prove that the centralized and normalized random variable (Y- n→→ ∞ has a normal distribution. -1 X₁ and y)/o, for
Transcribed Image Text:Let X₁, X2₂,.. X₁ be independent random variables, each of which obeys Poisson's law P(X, = m) am m! e-a with the same parameter a. Find the distribution series of the random variable Y = prove that the centralized and normalized random variable (Y- n→→ ∞ has a normal distribution. -1 X₁ and y)/o, for
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