AS/A2 Stats 2 Stats 3

S1 Topic 3: Probability
Finding an area
Another example of a Monte Carlo method, whereby a random process is used to find an approximation to a mathematical value, in this case the area under a curve y=x². Choose a number of random points and click on Simulate. These points will be randomly placed on the graph space which is a unit square. The proportion of point under the curve gives an estimate of the area under the curve. (In theory, using integration methods, this area is 1/3.)

an applet from Dartmouth College, Hanover, NH