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

Solution :

Given that ,

mean = = 8.33

standard deviation = = 1.48

P(x 12.77) = 1 - P(x   12.77)

= 1 - P((x - ) / (12.77 - 8.33) / 1.48)

= 1 -  P(z 3)  

= 1 - 0.9987   

= 0.0013