A probability distribution provides probabilities for all possible values of a (random) variable. For example, if the variable X is gender, the probabilities might be 0.5 for X = male and 0.5 for X = female. This assignment can be represented in a graphical illustration or in a mathematical formula. There are two types of distributions: discrete and continuous. Whether the distribution is discrete or continuous depends on the random variable.
Technically speaking, a probability distribution is a representation of the probabilities of all possible outcomes of a random phenomenon. A random [Page 540]phenomenon can be an experiment or a measurement, for example. In this entry, the example of a random phenomenon will be to flip a coin twice and record each flip. The set ...
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