<P> In probability theory and statistics , a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment . In more technical terms , the probability distribution is a description of a random phenomenon in terms of the probabilities of events . 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 , and 0.5 for X = tails ( assuming the coin is fair ) . Examples of random phenomena can include the results of an experiment or survey . </P>
<P> In probability theory and statistics , a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment . In more technical terms , the probability distribution is a description of a random phenomenon in terms of the probabilities of events . 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 , and 0.5 for X = tails ( assuming the coin is fair ) . Examples of random phenomena can include the results of an experiment or survey . </P>
is a description of how probabilities are distributed over the values of a random variable
is a description of how probabilities are distributed over the values of a random variable
probability distribution
probability distribution