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Why is the expected value of mathematics equal to the average value? Can you give an example or proof?
Mathematical expectation reflects the maximum probability value of random variables, which is different from the average value.

If the values of these n random variables are the same, then the expectation is the same as the average, and the probability of the random variables has been weighted, while the arithmetic average thinks that the weight of each variable is 1, which is the same.

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