Solutions to the Normal Curve
- Author:
- RV'SMath
- Topic:
- Standard Deviation
The Solution to Normal Probabilities Using RV Sigma ; g(x) , ( Set at 1 Std.) - (To see the starting relationship of equivalent areas between the Normal Curve and RV Sigma)
1) At 1 Std. I obtain "Z" values by taking the Cumulative area the Normal Curve; to 1 Std. = .8431; Additionally, I find the corresponding equivalent area for RV Sigma = .8431;
I then divide the Cumulative area of the Normal by the Cumulative area of the Standard Deviation. ( See the Blue Integrals and the (Pink) " Z " equation Box below )
2) Normal Probabilities: For Normal Probabilities I take the equivalent area of g(x) at 1 Std. = .3413. I then take that area and divide the area by the area of the Standard Deviation which then gives me the Normal Probabilities.
3) See Normal Probabilities Equation ( Blue )