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Question: The employees of Cartwright Manufacturing are awarded efficiency ratings based on such factors as monthly output, attitude, and attendance. The distribution of the ratings follows the normal probability distribution. The mean is 400, the standard deviation 50.

(a) What is the area under the normal curve between 400 and 482? Write this area in probability notation.

(b) What is the area under the normal curve for ratings greater than 482? Write this area in probability notation.

(c) Show the facets of this problem in a chart.

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