#1: Let X1 and X2 be independent and identically distributed to random variable X such that X has mean u and variance o2 (a) Find the expected value of Y = (X1+ X2)?, and represent your answer in terms of u and o. (b) Let X1,..., Xn be i.i.d. with same mean and variance. Find the expected value of Y E ( (2-1 X;)), and represent your answer in terms of u and a.

Question
#1: Let X1 and X2 be independent and identically distributed to random variable X such that X has
mean u and variance o2
(a) Find the expected value of Y = (X1+ X2)?, and represent your answer in terms of u and o.
(b) Let X1,..., Xn be i.i.d. with same mean and variance. Find the expected value of Y
E ( (2-1 X;)), and represent your answer in terms of u and a.

Image Transcription

#1: Let X1 and X2 be independent and identically distributed to random variable X such that X has mean u and variance o2 (a) Find the expected value of Y = (X1+ X2)?, and represent your answer in terms of u and o. (b) Let X1,..., Xn be i.i.d. with same mean and variance. Find the expected value of Y E ( (2-1 X;)), and represent your answer in terms of u and a.

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