Question

Heights of men on a baseball team have a? bell-shaped distribution with a mean of 175 cm and a standard deviation of 5 cm. Using the empirical? rule, what is the approximate percentage of the men between the following? values? a. 165 cm and 185 cm b. 160 cm and 190 cm

Answer 1

Empirical rule :- It is also called as (68-95-99.7 rule )

1) 68% of values fall within one standard deviation of the mean

2) 95% of the values fall within two standard deviations from the mean

3) 99.7% of the values fall within three standard deviations from the mean

Now

Given mean and standard deviation

a)

b)