Let the number of patients arriving at a Govt hospital follow Poisson distribution with mean $10$ per half an hour.Generate $6000$ samples each of sample size $100$ from Poisson $($lambda $=10)$find the sample mean for each sample generated

plot a histogram of the sample average

Fit a normal distribution with an appropriate mean and variance on the sample averages

Test the goodness of fir

Summarize all the results