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Problem 6. I have four different sweaters. Every day I choose one of the four sweaters at random to wear. Let X be the number of different sweaters I wear during a five day week. For example, if my five day sweater sequence is (3,2,4,4,2), thern X = 3 because the only distinct sweaters I wore are 2, 3 and 4. Find E(X)

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