Suppose the number of deaths due to coronavirus disease in China is 3.3 per 100 population and the number of death follo

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Suppose the number of deaths due to coronavirus disease in China
is 3.3 per 100 population and the number of death follows a Poisson
distribution.
(i). Calculate mean, variance, skewness and kurtosis of the Poisson
distribution.
(ii). Draw a random sample of size 1000 from Poisson distribution
using average the number of death is 3.3.
(iii). Based on a random sample found in Question (ii), calculate
sample mean, variance, skewness and kurtosis and compare these with
the results found in Question (i).
(iv). Repeat solution of Question (ii)-(iii) for 100 times and draw
histogram of each statistic and comments on your results.
(v). Find the average and standard error of each statistic based on
100 simulated values of each statistic. Compare your output with
the results found in Question (i) and interpret your results.