MA2102

Probability and Statistics

Lecture-16

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 $PMF/PDF$, and $MGF$(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 $1,2,3,...,N$ at random.


Let $X$ denote the number we picked. $S_X=\{1,2,...N\}$