Let X be the amount of soda released by a soft-drink dispensing machine into a 6-ounce cup. Assume that X is normally distributed with Delta= 0.25 ounces and that the average "fill" can be set by the...

Let X be the amount of soda released by a soft-drink dispensing machine into a 6-ounce cup. Assume that X is normally distributed with Delta= 0.25 ounces and that the average "fill" can be set by the vendor.

a) At what quantity should the average "fill" be set so that no more than 0.5% of the releases overflow the cup?

b) Using the average "fill" found in part A, determine the minimal amount that will be dispenesed in 99% of the cases.