Random variable X has the standard semicircle distribution if X has a continuous distribution on [−1,1] with probability density function g given by
f(x;mu,r) = 2*sqrt(r**2 - (x-mu)**2)/(PI*r**2)
mu - r <= x <= mu + r
For the Semicircle Distribution App two data parameters for the Center ( a ) and Radius ( r ) are input via sliders to compute PDF and CDF values and the Semicircle Distribution mean and variance. The PDF and CDF values are displayed both in data table and graph forms.
The PDF and CDF graphs are touch interactive graphs for computed (x/Pr(x) paired values. The graphs have a touch feature whereby upon the touch a slidable vertical line appears. Upon movement of the line a paired (x,Pr(x) values appear relative to the line position on the graph curve.
The horizontal x-axis displays computed (x) values. The vertical y-axis plots a range of Pr(x) values.