Question

5. A soft drink dispensing machine uses paper cups that hold a maximum of 12 ounces. The machine is set to dispense a mean of 10 ounces of the drink. The amount that is actually dispensed varies. It is normally distributed with a standard deviation of one ounce.
(a) What fraction of the drinks are between 10 and 11 ounces?

(b)What percentage of the cups spill over when poured because they exceed the 12 ounce limit?

Answer 1

Z = (score-mean)/SD = (score-10)/1

Insert scores to find Z scores.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions/probabilities related to the Z scores.

Answer 2

sex