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Suppose You Possess a Loaded 6-Sided Die in Which 1 E(2X−X)E \left( 2 ^ { X } - X \right)

Question 6

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Suppose you possess a loaded 6-sided die in which 1 is twice as likely as each of the other 5 outcomes. Let X be the outcome of rolling this die once. Find E(2X−X)E \left( 2 ^ { X } - X \right) .

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