Question

height is approximately nornamlly distributed. for women, the mean height is 64 inches and with a standard deveatikn of 2.56inches.

a. what proportion of women are taller than 72 inches?

b.how tall are women in the 90th percentile?

c. how tall are women in the 40th percentile?

Answer 1

Solution:

We are given:

a. what proportion of women are taller than 72 inches?

Answer: We have to find:

Using the z-score formula, we have:

Now using the standard normal table, we have:

Therefore, the proportion of women are taller than 72 inches is 0.0009

b.how tall are women in the 90th percentile?

Answer: We have to first find the z-value corresponding to an area = 0.90. Using the standard normal table, we have:

Now using the z-score formula, we have:

c. how tall are women in the 40th percentile?

Answer: We have to first find the z-value corresponding to an area = 0.40. Using the standard normal table, we have:

Now using the z-score formula, we have: