When Aubree goes bowling, her scores are normally distributed with a mean of 190 and a standard deviation of 14. Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?

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

Hope this helps!!

Step-by-step explanation:

So I would make the number line basically the negative numbers on the left and the positive numbers on the right. Basically you would put the 4 and 1/2 on the negative side so I think it would look like this -4 1/2 and for 3.35 you would put it on the positive side so it would look like this 3,25 and for the 1 you would put it on the positive side so the right side and put it as 1.