(Solution) - An airplane with room for 100 passengers has a total -(2025 Original AI-Free Solution)

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An airplane with room for 100 passengers has a total baggage limit of 6,000 pounds. Suppose that the weight of the baggage checked by an individual passenger, x, has a mean of 50 ponds and a standard deviation of 20 pounds. If 100 passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit? (With n = 100, the total weight exceeds the limit when the mean weight _ x exceeds 6,000/ 100.)