Question

The distribution of young woman's height is normally distributed with a mean of 65 inches and a standard deviation of 2.5 between what height do 95% of young women fall and what percentage of young women are shorter and 65

68-95-99.7 rule

The IQ score of seven graders normally distributed with a mean of 111 standard deviation of 11 what percentage IQ score above 144 in a sample of 75 students in a rural school none had scored above 144 why

Answer 1

Let ,

By using 68-95-99.7 rule :

1) Now , the 95% of the data faill within two-standard deviation of the mean.

i.e.

Therefore , the 95% of young women fall within 60 and 70

2) Now ,

The percentage of young women are shorter and 65 is 50.15%