Hello,

I would like some advice on how to calculate the area under a non-standard normal curve, in its own units, not relative to a standard-normal curve. Example distribution characteristics:

Mean ：500

Standard Deviation: 100

Point of interest: 550

By finding the relevant Z-score ((550-500)/100), I know that 31% of the area under the curve lies above 550. How do I convert that 31% back into units/terms of the non-standard normal curve?

Through simulation, I believe the answer is roughly570, but I don’t know how to truly calculate it.

Thank you.