Answer:
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 190
Standard deviation = 14
Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?
148 = 190 - 3*14
So 148 is 3 standard deviations below the mean.
232 = 190 + 3*14
So 232 is 3 standard deviations above the mean
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
