Compare a Gaussian to a Poisson

This script will calculate and plot a Poisson distribution

[Equation for Poisson distribution]

and a Gaussian distribution

[Equation for Gaussian distribution]

with the same mean and standard deviation. Since the mean of the Poisson distribution is [mu] and the standard deviation is [sigma = square root of mu], the specific Gaussian plotted here is

[Equation for Gaussian distribution]

Compare the distributions for different values of the mean.

Mean of the distribution:


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