A possible outcome of an experiment is the event A. The probability of this event is p. The experiment is performed n times, the outcome of any trial is not affected by the results of the previous trials. Define a random variable X to be the number of times the event A occurs in n trials.
(a) What is the PMF (X = x)?
(b) Show that the sum of the PMF over all x is 1.
(c) What is the name of this PMF?