E(X-E(X)) is
Solution 1
The expression E(X-E(X)) is a mathematical expression in the field of probability theory and statistics. Here's the step-by-step solution:
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E(X) is the expected value of the random variable X. It is the long-run average value of repetitions of the experiment it represents.
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X - E(X) is the deviation of the random variable X from its expected value. It represents how much the outcomes of the random variable X deviate from the average.
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E(X - E(X)) is the expected value of these deviations.
However, the expected value of these deviations is always zero. This is because the deviations above the mean cancel out the deviations below the mean.
So, E(X - E(X)) = 0.
Solution 2
The expression E(X-E(X)) is a mathematical expression in the field of probability theory and statistics. Here's the step-by-step solution:
-
E(X) is the expected value of the random variable X. It is the long-run average value of repetitions of the experiment it represents.
-
X - E(X) is the deviation of the random variable X from its expected value. It represents how much the outcomes of the random variable X deviate from the average.
-
E(X - E(X)) is the expected value of these deviations.
However, the expected value of a deviation from the mean is always zero. This is because the deviations above the mean cancel out the deviations below the mean.
So, E(X - E(X)) = 0.
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