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The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean?

User Mccannf
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2 Answers

2 votes

Answer:

99.7%

Explanation:

User Mehrdad Kamelzadeh
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3.1k points
5 votes

Answer: The required percentage would be 99.7%.

Explanation:

Since we have given that

It is normally distributed.

mean =
\mu

Standard deviation =
\sigma

Weight = 2 pounds bag

We need to find the percentage of the bags will have weights within 3 standard deviations of the mean.

So, it becomes :


\mu +2\sigma

As we know that Approximately 99.7% data falls within 3 standard deviation of the mean.

Hence, the required percentage would be 99.7%.

User Leguam
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3.7k points