## Probability Distribution

Probability Distribution is defined as a mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.

Let us consider an Example of tossing a coin, the possible outcomes are head or a tail ,

The probability of getting a head is $\frac{1}{2}$ ,similarly for getting a tail is also the same which is $\frac{1}{2}$.

In the case of rolling a die, the possible outcomes is getting a number from 1 to 6,

And for getting “1” after rolling a die is $\frac{1}{6}$ , similarly for getting  “2”,”3”,”4”,”5”,”6” is also the same which is $\frac{1}{6}$ respectively .

A probability distribution function is formally defined by a Cumulative Distribution Function(CDF) ,

The CDF of a real-valued random variable $X$ ,evaluated at $x$, is the probability that $X$ will take less than or equal to $x$

We can write it mathematically as

$F_x (x) = P ( X \leq x )$

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.