If E(x) is the expected value of X then E[x - E(x)]= ___________________?
Correct answer: C. 0
- A. E(x) - E(x)
- B. E(X) - 0
- C. 0
- D. E(x) + E(x)
Explanation
Using the linearity of expectation, E[X − E(X)] = E(X) − E(X) = 0. Subtracting a random variable's own mean produces a deviation whose average is zero.
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