@laughoutlood,
mu and sigma are greek
OK mu is the average (100); sigma ia the stabdard deviation(15); and x is value you want (115)
Put these values in to determine z z=(x-mu)/sigma
Now go to the standard deviation table--the total area under this curve is the entire population (1), the fraction you are looking for is the area under the curve for all z
greater than the z you calculate. On a standard normal population table you'll have a chart for the area under the curve
less than that z. That is the fraction of the population
less than that z (it will be less than 1).
But you are interedted in the fraction of the population
greater than that z.
No problemo---the total value of the population is 1 (a certainity). The fraction
less is given on the table for that z---so the fraction
greater is 1 minus the table value (it will also be less than 1).
Check--if you get any answer that is not between zero and one you're doing something wrong.
Rap