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?

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. 

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