Probability Distribution
In probability and statistics , a probability distribution is a mathematical function that, stated in simple terms, can be thought of as providing the probability of occurrence of different possible outcomes in an experiment . For instance, if the random variable X is used to denote the outcome of a coin toss ('the experiment'), then the probability distribution of X would take the value 0.5 for X=Heads {\displaystyle {\text{X=Heads}}} , and 0.5 for X=Tails {\displaystyle {\text{X=Tails}}} . In more technical terms, the probability distribution is a description of a random phenomenon in terms of the probabilities of events . Examples of random phenomena can include the results of an experiment or survey . A probability distribution is defined in terms of an underlying sample space , which is the set of all possible outcomes of the random...