AS/A2 Stats 1 Stats 3

S2 Topic 2: Continuous random variables
The mean
The mean, E(X) of a continuous distribution defined by the pdf f(x) is defined by:

Find, using calculus, the mean of the distribution described by the pdf:

Summary This method uses integration techniques from Pure 1. You will need to know how to integrate basic polyniomials in x such a linear, quadratic or cubic functions, and then how to substitute the limits. Clearly, looking at the symmetry of the graph of the pdf, the mean can be seen to be 2. This page uses WebEQ. To speed up downloading you can install this WebEQ Math Viewer . Click on the Math Viewer icon and you will be taken to the download site.