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Show that if a random variable x is defined on a sample

Question: Show that if a random variable X is defined on a sample space S (you may assume X has values x1, x2, ... xk as above) then the expected value of X is given by

(In words, we take each member of the sample space, compute its probability, multiply the probability by the value of the random variable and add the results.)

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Mathematics: Show that if a random variable x is defined on a sample

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Mathematics: Show that if a random variable x is defined on a sample

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