Question

The number of potato chips in a bag is normally distributed with a mean of 75 and a standard deviantion of 5. Approximately what percent of bags contain between 65 and 85 potato chips?

a. 68%
b. 75%
c. 95%
d. 99.7%​

Answer 1

The percentage of bags contain between 65 and 85 potato chips is 95%.

Explanation:

A probability distribution that is symmetric and the data near the mean are more frequent than far is known as a normal distribution. Normal distributions are important in statistics and are often used to represent real-valued random variables.

The formula for finding the percentage of bags using normally distributed is given as

f(x) = (1 / sigma * square root 2 *pi) * e^((-1/2)*((x-u)/sigma))

Substituting the values of mean and standard deviation,

The percentage of bags contain between 65 and 85 potato chips is 95%.