Question

The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what percent of bags contain between 62 and 86 potato chips?

Answer 1

Answer: 99.7 % of the bags contain between 62 and 86 potato chips.

Explanation:

The standard deviation given is 4.

Find the difference between the given numbers and the mean,

74-62= 12 . 86-74=12

then divide 12 by 4 to find the number of standard deviations: 12/4=3

Check a chart or diagram of the Gaussian Distribution to find that 99.7% of the samples lie within 3 standard deviations from the mean.