A man aiming at a target receives 10 points if hisshot is

Chapter 5, Problem 5.17

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A man aiming at a target receives 10 points if hisshot is within 1 inch of the target, 5 points if it isbetween 1 and 3 inches of the target, and 3 points ifit is between 3 and 5 inches of the target. Find theexpected number of points scored if the distancefrom the shot to the target is uniformly distributedbetween 0 and 10.

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