SOLUTION: A vending machine dispenses coffee into a 20 ounce cup.The amounts of coffee dispensed into the cup are normally distributed with a standard deviation of 0.05 ounce. You can allow

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Question 765277: A vending machine dispenses coffee into a 20 ounce cup.The amounts of coffee dispensed into the cup are normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 5% of the time. What amount should you set as the mean amount of coffee to be dispensed?
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Q:
A vending machine dispenses coffee into a 20 ounce cup.The amounts of coffee dispensed into the cup are normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 5% of the time. What amount should you set as the mean amount of coffee to be dispensed?
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A:
(20 - µ)/.05 = 1.645
µ = 20 - 1.645(.05) = highlight%2819.918%29 ounce