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the weights of 2 - pound bags of best dog food are approximately normal…

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?
47.5%
68%
95%
99.7%

Explanation:

Step1: Recall the Empirical Rule

The Empirical Rule for a normal - distribution states that approximately 68% of the data lies within 1 standard deviation of the mean, about 95% lies within 2 standard deviations of the mean, and about 99.7% lies within 3 standard deviations of the mean.

Answer:

99.7%