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6. Switching hats. A group of people n people are each wearing their own unique hat. In order to switch up their styles, they put

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6. Switching hats. A group of people n people are each wearing their own unique hat. In order to switch up their styles, they put all their hats in a bag, shuffle them and each pick out one randomly. Let X be the number of people who get back their original hat. (a) (4 pts) Find E(X). (b) (6 pts) Find Var(X)

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