# Probability calculation based on Z-score.

Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 50 gallons, while the fills have a standard deviation known to be .6 gallon.

Suppose that the mean fill for the shipment is actually 50 gallons. If a random sample of 100 drums from the shipment, what is the probability that the average fill for the 100 drums is between 49.88 gallons and 50.12 gallons?

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Answer

Let X be the quantity of Chemical ZX-900 in ...

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This solution provides a step-by-step method for computing probability based on Z score is given in the answer.

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