Probability
12.0 Probability Distribution
12.0 Probability Distribution
Definition: If a random variable $X$ takes the values ${x_1},{x_2},...,{x_n}$ with respective probabilities ${p_1},{p_2},...,{p_n}$ , then,
| $X$: | ${x_1}$ | ${x_2}$ | ${x_3}$ | ...... | ${x_n}$ |
| $P(X)$: | ${p_1}$ | ${p_2}$ | ${p_3}$ | ...... | ${p_n}$ |
is known as probability distribution of $X$.
It is defined only if $\sum\limits_{i = 1}^n {{p_i}} = 1$ and ${p_i}$ is never negative.
