AS/A2 Stats 1 Stats 3

S2 Topic 2: Continuous random variables
PDFs 6
The following graph shows the pdf f(x) defined by:
a can be varied. Also shown is the cumulative probability function F(x) in red. This graph shows the total area under the pdf curve - ie., the total probability. Adjust a so that the total area under the pdf between 0 and 4 is 1.

Answers The value required for a is about 0.0165. To find this value accurately you would need to use calculus. Based on free Java applets from JavaMath