The uniform distribution assigns equal probabilities to intervals of equal lengths, since it is a constant function, on the interval it is non-zero [a,b]. Thus, the expected value of the uniform\...The uniform distribution assigns equal probabilities to intervals of equal lengths, since it is a constant function, on the interval it is non-zero [a,b]. Thus, the expected value of the uniform[a,b] distribution is given by the average of the parameters a and b, or the midpoint of the interval [a,b]. This is readily apparent when looking at a graph of the pdf in Figure 1 and remembering the interpretation of expected value as the center of mass.
