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

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18-01-2022
Mathematics

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

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ankitprmr2 ankitprmr2 · Answer 1 · 2022-01-26T09:10:08+01:00

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

The percentage of bags containing between 65 and 85 potato chips is 95.44 %.

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

We need to determine the percentage of bags containing between 65 and 85 potato chips.

How to calculate the probability?

Below mentioned the step-by-step calculation for calculating the percentage of bags containing between 65 and 85 potato chips.

Step 1: Sketch the curve.

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

Step 2:

Since and we have:

[tex]\mu =75\;\rm{and} \;\sigma=5[/tex]

[tex]\begin{aligned}(65

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

By using the standard normal table it is concluded that the probability is 0.9544.

Hence, for calculating the probability into the percentage, we need to multiply it by 100. Thus, the percentage of bags containing between 65 and 85 potato chips is 95.44 %.

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

https://brainly.com/question/12402189