Random Variables, Random Process, Probability, Deep Dives, Statistics.
because the CDF F(.) is the probability of W being less than or equal to some w_k. Therefore by definition, the domain of F(.) can have fractional (real) values and the corresponding probabilities are meaningful. Let’s calculate F(W=1.5): F(W=1.5) = P(W <= 1.5) = P(W=0) + P(W=1) + P(1 < W <= 1.5) =