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A truck can carry a maximum load of 4000lb. A manufacturer wants to ship an order of 50 boxes. The weights of the boxes are

A truck can carry a maximum load of 4000lb. A manufacturer wants to ship an order of 50 boxes. The weights of the boxes are normally distributed with mean ??=78lb. and standard deviation ??=12lb. What is the probability that all 50 boxes can be sent in one shipment? If the weights are not normally distributed, will the answer be still approximately correct? why or why not?

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