The binomial distribution is a discrete distribution that represents the frequency of characteristics with two possible outcomes. For example, it can be used to model the number of defects in a production process.
The poisson distribution is a special case of the binomial distribution. It describes the number of errors per unit that occur within a given unit.
The hypergeometric distribution is used when samples are drawn from small populations without replacement. An example is lottery numbers.
The normal distribution is the most important distribution function for continuous data. Most statistical methods are based on normally distributed data.
The log-normal distribution is steep on the left and right-skewed, and it does not take values less than 0. It is often used to describe process times.
The Weibull distribution is very flexible in its shape. Through the parameter values, the curve can be adjusted to fit various patterns. Examples include lifetime analyses.
