SOLUTION: Explain whether the following statements are true or false. Give reasons. 1. E(1/X)=1/E(X) <---- E(X) represents the expected value 2. E[X-u(subscriptX)]^2 = [E(X-u(subscript

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Question 394859: Explain whether the following statements are true or false. Give reasons.
1. E(1/X)=1/E(X) <---- E(X) represents the expected value
2. E[X-u(subscriptX)]^2 = [E(X-u(subscriptX))]^2

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
1. . FALSE. Consider the pmf
X = 1 2 3
p(x) =0.2 0.3 0.5
Then , but
.
Therefore is not equal to .
2. . FALSE.
The left side is Var(X), while the right side equal to 0, because

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