Probability and Statistics
Some Special Discrete Distributions
There are some specific distributions that come up in practice a lot, thus they have been given special names. Behind each of these special distributions there is a random experiment, so we study and understand these random experiments on which the random variable is defined, then we derive corresponding , and (when exists), then we can use this knowledge directly(without deriving) every time when these distributions comes in practice.
Discrete Uniform distribution:
Consider a random experiment of picking a number from at random.
Let denote the number we picked.