Probability-Mass-Function
07-14-2022 || 23:49
Tags: #probability
probability-mass-function
To define the probability distribution function for a discrete random variable we use the probability mass function.
Most of the time it is expressed as $P(x)$ for expressing the probability of x
In case of multiple variables, another way is to use, $P(x=1)$
Also another rare bur used notation is $x \sim P(x)$
To be a probability mass function, the function needs to satisfy the following conditions,
- $P$ must be defined for all of the states possible of the discrete random variable
- $\forall x 0 \leqslant P(x) \leqslant 0$
- $\sum_{x} P(x) = 1$