The Nelson Company makes the machines that automatically dispense soft drinks into cups. Many national fast-food chains such as McDonald’s and Burger King use these machines. A study by the company shows that the actual volume of soft drink that goes into a 16-ounce cup per fill can be approximated by a normal model with mean 16 ounces and a standard deviation of 0.34 ounces. A new 16-ounce cup that is being considered for use actually holds 16.5 ounces of drink
1. What is the probability that a new cup will overflow when filled by the automatic dispenser?
2. The company wishes to adjust the dispenser so that the probability that a new cup will overflow is .006. At what value should the mean amount dispensed by the machine be set to satisfy this wish?
