1. At a factory, the fill volume of Coke cans is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce.
a. What is the probability a fill volume is less than 12 fluid ounces?
b. If all Coke cans less than 12.1 or greater that 12.6 ounces must be destroyed, what proportion of Coke cans are destroyed?
c. Determine specifications that are symmetric about the mean that include 99% of all Coke cans.
2. The life of an electrical item at constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours.
a. What is the probability that an item fails before 5000 hours? Answer 0.00043 ?
b. What is the life in hours that 95% of the items exceed? Answer 6016 ?
c. If three of the electrical items are used in the same larger equipment and they are assumed to fail independently, what is the probability that all three are still operating after 7000 hours? Answer 1/8 ?
This solution shows step-by-step calculations to determine questions on probability, proportion, and symmetric specifications.