Which of the following qualifies as a cumulative distribution function? A. F(1) = 0, F(2) = 0.5, F(3) = 0.5, F(4) = 0. B. F(1) = 0, F(2) = 0.25, F(3) = 0.50, F(4) = 1. C. F(1) = 0.5, F(2) = 0.25, F(3) = 0.25.
Because a cumulative probability function defines the probability that a random variable takes a value equal to or less than a given number, for successively larger numbers, the cumulative probability values must stay the same or increase.