Question: (a) Write Roodes to illustrate the Central Limit Theorem (0LT) for independent and identically distributed (i.i.d) sequence with the sample size n = 6 for

 (a) Write Roodes to illustrate the Central Limit Theorem (0LT) for

(a) Write Roodes to illustrate the Central Limit Theorem (0LT) for independent and identically distributed (i.i.d) sequence with the sample size n = 6 for the following distributions: (i) Binomial distribution with parameters n. = 10 and p = 0.3, (ii) Poisson distribution with parameter 8, (iii) Uniform distribution on the interval (4, 10), (iv) Exponential distribution with parameter 5. Simulate 20000 times and generate histograms to visualize CLT for the above four scenarios. (b) Repeat all scenarios in part (a) for the sample size n = 50. (0) Compare the shape of histograms in part (a) and (b)

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