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An airplane is only allowed a gross passenger weight of 8000 kg. If distribution of the weights of passengers is normal and have a mean

An airplane is only allowed a gross passenger weight of 8000 kg. If distribution of the weights of passengers is normal and have a mean of 78 kg and a standard deviation of 7 kg traveling by air between Toronto and Vancouver, find the probability (up to 4 decimal places) that the combined weight of 100 passengers will exceed 8,000 kg.

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