Question

suppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.33 and a standard deviation of 1.48 . using the empirical rule, what percentage of american women have shoe sizes that are at least 12.77 ? please do not round your answer.

Answer 1

0.15%

Explanation:

99.7% of data within 3 standard deviations of mean.

that is within 3.89 and 12.77.

0.3% are either less than 3.89 or at least 12.77.

percentage of at least 12.77 = 0.3/2 = 0.15%.

0.15% of American women have shoe sizes of at least 12.77.