(Solution) - Suppose that n 50 and that Xi takes the -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Suppose that n = 50, and that Xi takes the value 0 with probability 0.25, the value 1 with probability 0.5, and the value 2 with probability 0.25.
Suppose the random variables X1, X2 ... Xn are i.i.d. (independent and identically distributed), and consider the sum Sn =

Suppose that n = 50, and that Xi takes the
Find the mean and variance of Sn, and write and sketch the p.d.f. of the approximate normal distribution.