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Question: Bad carpet The number of flaws per square yard in a type of carpet material varies with mean 1.6 flaws per square yard and standard deviation 1.2 flaws per square yard. The population distribution cannot be Normal, because a count takes only whole-number values. An inspector studies a random sample of 200 square yards of the material, records the number of flaws found in each square yard, and calculates x -, the mean number of flaws per square yard inspected. Find the probability that the mean number of flaws exceeds 1.8 per square yard. Show your work.

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