The number of potato chips in a bag is normally distributed with a mean of 75 and a standard deviantion of 5. Approximately what

Question

Ratling [72]

4 years ago

15

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%

Mathematics

1 answer:

ladessa [460] · Answer 1 · 2022-01-31T14:44:05+03:00

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

<u>Step-by-step explanation:</u>

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%.