Question

Women's heights are normally distributed with mean 63.5 in and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 70 in tall. What percentage of women meet that requirement?

Answer 1

First, ask yourself how far way is 70 from the mean of 63.5? It is equal to 70 - 63.5 = 6.5 inches. 

Next, ask yourself how many standard deviations is this? Well, every standard deviation equals 2.5 inches, so there are 6.5 / 2.5 = 2.6 standard deviations. So, 70 is exactly 2.6 standard deviations to the right of the mean. 

Finally, you can use the Standard Normal to find the answer P(X>70) since this is equivalent to: 

P(z > 2.6) = 0.0054 or 0.54% of women will be taller than 70 inches. 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!