Definition of Binomial Distribution:
In a situation where there are exactly two mutually exclusive outcomes (e.g., success or failure) of a trial, to find the x success in N trials with p as the probability of success on a single trial.
For example, Team A has won 15 cricket matches out of 50 played. What is the probability of winning at most 5 matches in the next 10 matches?
x = 5, N = 10 and p = 15/50 = 0.3
Mean = N * p = 10 * 0.3 = 3