Convergence, Probability, Cumulative Distribution, Statistics, Editors Pick.
apparent that X_n converges in distribution to the Bernoulli random variable X ~ Bernoulli(0.5) with the following Probability Mass Function: PMF of X ~ Bernoulli(0.5) (Image by Author) In fact, if you plot the CDF of X_n for a sequence of ever increasing n, you’ll see the CDF converging to the CDF