Question: Let X 1 , . . . , X 100 be a sequence of independent and identically distributed (iid) random variables with mean = 2

Let X1, . . . , X100 be a sequence of independent and identically distributed (iid) random variables with mean = 2 and 2 = 4.

(a) Calculate the following probability, approximately P((i=1100 (Xi < 220)) .

(b) Calculate E[3X1 + X6 X35].

(c) Calculate the variance of Y = i=120 (-1)i-1Xi

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