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Use the unit step function to write a single expression for the cumulative distribution function of the discrete random variable of Example 2.1, having P (X= 1) = P (X=2) = P (X=3) = P (X=4) = P (X=5) = P (X=6) = 1/6.
The summation in Eq. 2.6
F_{X} (u)= \sum\limits_{j}{p_{j}U(u-x_{j})}is simply
F_{X} (u)= \frac{1}{6} [U(u-1)+U(u-2)+U(u-3)+U(u-4)+U(u-5)+U(u-6)]