Formula
P(X = k) = C(n, k) p^k (1-p)^(n-k)
The binomial distribution models repeated independent trials with a success probability p.
Example
If n = 10 and p = 0.5, then P(X = 3) is computed using the formula above.
FAQs
What does p represent?
It is the probability of success on any one trial.
When is this used?
It is used in quality control, risk assessment, and repeated yes/no tests.