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    Probability Mass Function

    [!def] What is 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 $x \sim P(x)$

    [!question] Conditions of Probability Mass Function

    1. $P$ must be defined for all of the states possible of the discrete random variable
    2. $\forall x : 0 \leqslant P(x) \leqslant 0$
    3. $\sum_{x} P(x) = 1$

    References