Convergence, Probability, Cumulative Distribution, Statistics, Editors Pick.
of Bernoulli(0.5). Read the plots shown below from top-left to bottom-right. Notice how the horizontal line moves lower and lower until it comes to a rest at y=0.5. (Image by Author) As you will have seen from the plots, the CDF of X_n (or X_k) as k (or n) tends to infinity converges to the CDF of