A company sells cans of chicken soup that that are advertised to contain 20 oz. However due to variations in the manufacturing process, the volume of soup in the cans is, in fact, Normally distributed with a mean of 20.1 oz and a standard deviation of 0.4 oz.

Question

• What is the probability that a randomly sampled can of soup will contain 19.2 oz or less of soup?
• What is the probability that a randomly sampled can of soup will contain between 19 oz and 21 oz of soup?
• What is the smallest (cut-off) volume of soup that 90% of the cans will contain (or exceed)?

Answer 1

Z = (score-mean)/SD

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.

Reverse process with last question, starting with .90.