#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.

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Asked Oct 27, 2019
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#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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#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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Expert Answer

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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