The distribution of weights of items produced by a manufacturing process can be approximated by a normal distribution with a mean of 90 grams and a standard deviation of 1 gram. Using the empirical rule, what percentage of the items will either weigh less than 88 grams or more than 92 grams?
1 Answer
Mar 5, 2015
The empirical rule:
Which means that on each side of the mean
On each side 13.5% is between
If we add up
Since
Answer:
2.5% weigh less than 88 g and 2.5% weigh more than 92 g.
(wikipedia)