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*** Please do part A: 2. (30 pts) Central Limit Theorem Let X1,X2,... be a sequence of iid random variable with finite mean u and

*** Please do part A:

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2. (30 pts) Central Limit Theorem Let X1,X2,... be a sequence of iid random variable with finite mean u and finite variance o', and let Mn be the mean of the first n random variables in the sequence: Mn = X1+ X2+ ...+ Xn n (a) Let X; be a uniform continuous random variable taking values in the interval (2, 6). Write a MATLAB program to plot the pdf and cdf of Mn. Consider n = 1, 2, 3, 4, 5, 10, 20, 30 and compare your results

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