Question

A pharmaceutical company has a machine designed to fill alcohol dispensers with 200 cubic centimeters of alcohol. However, it is not very precise. The bottles are actually filled with a mean of 200 cubic centimeters and a standard deviation of 15 cubic centimeters. The distribution is normal.

a. What is the probability of a random bottle being fillled more than 210 cubic centimeters? As part of your answer draw a picture (i.e. a graph) to explain.

b. What is the probability of a random bottle being fillled between 190 and 210 cubic centimeters? As part of your answer draw a picture (i.e. a graph) to explain.

c. What amount of alcohol represents the 30th percentile (i.e. 30 percent of bottles are filled less than that amount)? As part of your answer draw a picture (i.e. a graph) to explain.

Answer 1