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{"ops":[{"insert":"Two fair cubes are rolled. The random variable X represents the difference between the values of the two cubes.\n\u00a0\na)\u00a0\u00a0\u00a0\u00a0Find the mean of this probability distribution. (i.e. Find E[X] )\nb)\u00a0\u00a0\u00a0\u00a0Find the variance and standard deviation of this probability distribution. \n(i.e. Find V[X] and SD[X])\n\tThe random variables A and B are defined as follows:\n\tA = X-10 and B = [(1\/2)X]-5\n\tc)\u00a0Show that E[A] and E[B].\n\td)\u00a0Find V[A] and V[B].\ne)\u00a0Arnold and Brian play a game using two fair cubes. The cubes are rolled, and Arnold records his score using the random variable A and Brian uses the random variable B. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores.\n\n"}]}
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