Statistics Set Theory Permutations & Combinations Probability Theory Distributions Discrete Systems Binomial Binomial Plot Hypergeometric Hypergeometric Plot Poisson Poisson Plot Continuous Systems Normal Normal Plot Uniform Uniform Plot Exponential Exponential Plot Reliability Least Squares Resources Bibliography
Normal Distribution

The normal distribution, or Gaussian distribution, is a symmetrical distribution commonly referred to as the bell curve. It can be considered as a special case of the binomial distribution with a very large number of trials () and an equal success/failure rate ().

Suppose that the mean value and standard deviation of a normal distribution are and , respectively. The normal distribution has the following important properties. See plots of normal distributions.

 Normal Distribution Density Function Distribution Function Mean Variance Standard Deviation
Uniform Distribution

The uniform distribution has a constant success rate on the interval and zero success rate anywhere else. The uniform distribution has the following important properties. See plots of uniform distributions.

 Uniform Distribution Density Function Distribution Function Mean Variance Standard Deviation
Exponential Distribution

The Exponential distribution arises in the calculations of reliability. It is similar to the Poisson distribution with and the probability of the desired outcome diminishes as the trial number increases (). See plots of exponential distributions.

 Exponential Distribution Density Function Distribution Function Mean Variance Standard Deviation

where .