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