Question

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?

Answer 1

Answer: The required percentage would be 99.7%.

Step-by-step 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%.