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 =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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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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