Question

When brody goes bowling, his scores are normally distributed with a mean of 185 and a standard deviation of 14. Using the empirical rule, determine the interval that would represent the middle 99.7% of the scores of all the games that Brody bowls

Answer 1

Answer:

(143 ; 227)

Step-by-step explanation:

Mean , m = 185

Standard deviation, s = 14

Interval that would represent the middle 99.7%

According to the empirical rule, 99.7% represents 3 standard deviation from the mean

Mean ± 3(standard deviations)

185 - 3(14) = 185 - 42 = 143

185 + 3(14) = 185 + 42 = 227