## Normal Curve Simulation

This application calculates probabilities based on the Standardized Normal
Distribution Curve and shades the area under the curve accordingly. The user can
enter a value and choose if s/he is interested in the probabilty that a random
outcome will be smaller or greater than the entered value. The user can also
enter an intervall and the application calculates the probability for a random
variable to fall in this intervall.

### How to use the simulation

- Choose if you are interested in the probability that a random outcome is smaller/greater than the chosen value or if you are interested in the probabity that the random outcome falls between the two values.
- Enter the Z0 value or two z-values (Z0 and Z1) for a specific interval. When choosing an interval Z0 can be the upper or the lower limit. The same goes for Z1.
- Click the "Update Model" button and the simulation calculates the probability for a random variable to fall in the chosen interval.
- The gray area in the diagram reflects the area where the probabilty is based on.

### Model Details

The model calculations are based on Cumulative distribution function for the curve and the Error-Function for the area under the curve. See the following two links for more details:http://en.wikipedia.org/wiki/Error_function

http://en.wikipedia.org/wiki/Normal_distribution#Cumulative_distribution_function

### Author

Carsten Lange

Department of Economics

California State Polytechnic University, Pomona

clange@cpp.edu