# Probability Distributions in Statistics

### Probability distributions

The idea of a probability distribution exactly parallels that of a frequency distribution. Each type of distribution is based on a set of mutually exclusive and exhaustive measurement classes or class intervals. A probability distribution is thus an idealization of the way things might be if we only had all the information. It dictates what we should expect to observe in a frequency distributions, if some given state of affairs is true. Thus, we can say,

Any statement of a function associating each of a set of mutually exclusive and exhaustive classes or class intervals with its probability is called probability distribution.

A probability distribution is divided into two category. They are-

• Discrete probability distribution
• Continuous probability distribution