A large lot of manufactured items contains 10% with exactly one defect, 5% with more

Chapter 5, Problem 5.126

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A large lot of manufactured items contains 10% with exactly one defect, 5% with more than one defect, and the remainder with no defects. Ten items are randomly selected from this lot for sale. If Y1 denotes the number of items with one defect and Y2, the number with more than one defect, the repair costs are Y1 + 3Y2. Find the mean and variance of the repair costs.

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