A skeptic gives the following argument to show that there
Chapter , Problem 11(choose chapter or problem)
A skeptic gives the following argument to show that there must be a flaw in the central limit theorem: “We know that the sum of independent Poisson random variables follows a Poisson distribution with a parameter that is the sum of the parameters of the summands. In particular, if n independent Poisson random variables, each with parameter \(n^{-1}\), are summed, the sum has a Poisson distribution with parameter 1. The central limit theorem says that as n approaches infinity, the distribution of the sum tends to a normal distribution, but the Poisson with parameter 1 is not the normal”. What do you think of this argument?
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