Human heights are known to be normally distributed. Men have a mean height of 70 inches and females a mean height of 64 inches. Both have a population standard deviation of 3 inches.

-Find the first quartile (Q1) of the female height distribution

-find the height of the female in the 90th percentile

-assume a random sample of 100 males is selected.

-what is the standard deviation of the sample mean

-What is the probability that the mean height of samples is less than 68 inches tall

what is the probablilty that a random selected female is above 70 inches height