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 0.05 ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed

Answer 1

Find one-tail z-score from tables
Z(0.96)=(12-μ)/0.05
Solve for μ

Answer 2

11.92