Binomial PMF
Notes:
- This is an important discrete probability distribution. It gives you the probability P(X = u) when X is a random variable that counts the number of `successes' in n independent Bernoulli trials with constant probability of `success' p.
- When X has a binomial distribution with
the above probability mass function, we write
-
We can graph a binomial pmf using a probability histogram. The area of
each bar is equal to P(X=u) where u is one of the values
that X is capable of taking. The base of each bar is centered at
u. For example, the figure below gives you the probability histogram
for the Bin(10,0.5) distribution.
