Normal distribution with CAS
You can solve different problems with normal distribution with CAS with only one function.
If randon variable , then the cumulative distribution function is defined by .
In Geogebra this function is:
or Normal(Mean ,Standard deviation , Variable Value).
By default, this gives cumulative distribution. For density you need to add 4th variable = false.
For example, you can graph density distribution with command
Normal( 10, 2, x, false).
But back to cumulative distribution.
You can solve problem: , solve with command
Normal( 10, 2,13.2 )
Or the problem, where mean is unknow, but probability is given, write equation
Normal(x, 2,13.2 )=0.65
and solve it numerically. For this you could also you function
InverseNormal( Mean, Standard Deviation,Probability).
Same works, when standard deviation is unknown.
Normal(11, x,13.2 )=0.65
Which problem is solved by this command? Remember to solve it numerically.
Try these out with Geogebra.