Question

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. Approximately what percent of bags contain between 69 and 73 potato chips?.

Answer 1

Mean is calculated as the summation of all the data upon the total number of data.

The percentage of bags containing between 69 and 73 potato chips is 68.26 %.

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2.

We need to determine the percentage of bags containing between 69 and 73 potato chips.

How to calculate the probability?

Below mentioned the step-by-step calculation for calculating the percentage of bags containing between 69 and 73 potato chips.

Step 1: Sketch the curve.

The probability is equal to the blue area under the curve.

Step 2:

Since and we have:

$\mu =71\;\rm{and} \;\sigma=2$

[tex]\begin{aligned}(69

Step 3: Use the standard normal table to conclude that:

By using the standard normal table it is concluded that the probability is 0.6826.

Hence, for calculating the probability into the percentage, we need to multiply it by 100. Thus, the percentage of bags containing between 69 and 73 potato chips is 68.26 %.

To know more about the distribution, please refer to the link:

https://brainly.com/question/12402189

Answer 2

Answer:

68.26℅‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎