SOLUTION: A vending machine dispenses coffee into a twelve​-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.09 ounce. You

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Question 1112991: A vending machine dispenses coffee into a twelve​-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.09 ounce. You can allow the cup to overfill 2​% of the time. What amount should you set as the mean amount of coffee to be​ dispensed?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
the 98th percentile is z=2.055
z=(x-mean)/sd
2.055=(12-mean)/0.09
0.185=12-mean
mean+0.185=12
mean=11.815 oz.

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