The weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation according to the empirical rule, what percentage of the bags will have lengths within 3 standard deviations of the mean?
47.5%
68%
95%
99.7%

D. 99.7%

Step-by-step explanation:

We are told that the weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation.

Since the empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

As the weights of 2-pound bags of Best Dog Food are normally distributed, therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.

both equations and proportions are better.