Compare Poisson and the equivalent Gaussian distributions for the cases of mean value M = 1,...

Compare Poisson and the equivalent Gaussian distributions for the cases of mean value M = 1, 2, 5, 10. Tabulate the expected probabilities for observing various numbers of events n given the above mean values. What is the greatest error made in the Gaussian approximation in each case? For this, it is most appropriate to compare the values themselves rather than relative differences.

Expert Solution

lambda = 1

lambda = 2

lambda = 5

lambda = 10

lambda = 100

For lambda = 100, you can see that this becomes almost equal to the corresponding Gaussian distribution.

orchestra answered 2 years ago

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