An elevators weight capacity is 1000 pounds. Three men and three women are riding the elevator. Adult

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An elevator’s weight capacity is 1000 pounds. Three men and three women are riding the elevator. Adult male weight is normally distributed with mean 172 pounds and standard deviation 29 pounds. Adult female weight is normally distributed with mean 143 pounds and standard deviation 29 pounds. Find the probability that the passengers’ total weight exceeds the elevator’s capacity.

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