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 ,similarly for getting a tail is also the same which is
.
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 , similarly for getting “2”,”3”,”4”,”5”,”6” is also the same which is
respectively .
A probability distribution function is formally defined by a Cumulative Distribution Function(CDF) ,
The CDF of a real-valued random variable ,evaluated at
, is the probability that
will take less than or equal to
We can write it mathematically as
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