In Python language, demonstrate that the central limit theorem works on a Poisson distributed variable with = 10.

(a) Simulate taking the mean of 2 observations of the variable 100 times. Make a Histogram and

Boxplot, comment on the 'normality'

(b) Simulate taking the mean of 10 observation of the variable 100 times. Make a Histogram and Boxplot, comment on the 'normality'

(c) How large does n (the number of observations used to calculate the mean) need to be to indicate normality, justify your answer (just make a logical argument)?