# #1: Let X1 and X2 be independent and identically distributed to random variable X such that X hasmean 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 YE ( (2-1 X;)), and represent your answer in terms of u and a.

Question
216 views help_outlineImage Transcriptionclose#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. fullscreen
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Step 1

Introduction:

Since X1, X2 are independent and identically distributed, the following important points are valid in this case:

• E (X1) = E (X2) = μ.
• V (X1) = V (X2) = σ2.
• E (X1 X2) = E (X1) ∙ E (X2) [Since X1, X2 are independent].
...

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