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?

For required percentage of the bags will have weights within 3 standard deviations of the mean  will in 99.7 %

Step-by-step explanation:

Given:

The 2 -pound bags is normally distributed with help of Empirical Rule.

To Find:

what percentage of the bags will have weights within 3 standard deviations of the mean

Solution:

The weight of 2 pounds of  bags are normally distributed.

Hence the curve will have two tailed hypothesis with normal distributed curve.

So Using Empirical Rule which state the following :

For normal distributed mean  and S.D. it has three parts as follows:

1) 68% of data falls within the first S.D. from the mean.

2)95% falls within 2nd S.D.

3)99.7 % falls within 3rd S.D.

we have to calculate for the 3rd S.D.

Hence the data will falls 3rd S.D. will be 99.7%

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11