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a vending machine dispenses coffee into an 8 oz cup. the amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 can allow the cup to overfill 5 percent of the time. what amont should you set as the mean amount of coffee to be dispensed?

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    Use z-scores and solve for the mean:

    z = (8 - mean)/(0.03)

    To find z to plug into the above formula, use a z-table and the percentage given in the problem.

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