AS/A2 Stats 1 Stats 3

S2 Topic 3: Continuous distributions
The rectangular distribution
First, adjust the positions of the points labelled a, b and P so that the total probability is 1. You will then have a continuous uniform (or rectangular) distribution. Move points x1 and x2 within this region and the probability of P(x1<x<x2) will be displayed.

Please enable Java for an interactive construction (with Cinderella).

Summary If a continuous variable, X, follows the rectangular (or uniform) distribution with probability density function, f(x) then: f(x) = 1/(b-a) for a £ x £ b, and f(x) = 0 otherwise E(X) = (a+b)/2 Var(X) = (b-a)2/12 Uses Cinderella interactive geometry.