A plane carries 100 passengers it can handle 3000 kg of, Basic Statistics

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A plane carries 100 passengers it can handle 3000 kg of

Average weight of checked baggage in domestic US flights is 25 kg with variance of 900 kg. A plane carries 100 passengers. It can handle 3000 kg of checked baggage, that is, a maximum of 30 kg per passenger. What is the probability that a random load of 100 passengers will check too much baggage for the plane to handle?

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