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An airplane with room for 100 passengers has a total of baggage claim limit of 6,000 pounds. Suppose that the weight of the baggage checked

An airplane with room for 100 passengers has a total of baggage claim limit of 6,000 pounds. Suppose that the weight of the baggage checked by an individual passenger has a mean of 54 pounds and a standard deviation of 20 pounds. If hundreds passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit?

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