Library Articles


Mean Value:
denoted by µ, is the likely average outcome from a random sampling process.

Discrete System
Continuous
Variance: denoted by s2, indicates the spread of the distribution measured from the likely outcome m.

Discrete System
Continuous
Standard Deviation: denoted by s, is the positive square root of the variance. It combines the spread of a distribution.

Discrete System
Continuous


 

Continuous Normal Distribution, also know as the Gaussian distribution, is the best-known and most widely used probability distribution.
Density Function



Distribution Function


Mean = µ
Variance = s2

Standard Deviation =
s

Exponential Distribution, also known as the negative exponential, is useful in the calculations of reliability. The probability of the desired outcome diminishes as the trial number increases.


Density Function Distribution Function



Mean = µ
Variance =
s2

Standard Deviation = 
s

Discrete Binomial Distribution, also known as Bernoulli distribution. If the probability of occurrence of an event in each trial is p, and the probability of nonoccurrence is 1-p, then the probability of exactly x occurrence among n trial has the following properties:


Density Function Distribution Function

Mean = µ
Variance =
s2

Standard Deviation = s

Poisson Distribution is useful to describe the desired outcomes occur infrequently but at a regular rate. If the mean occurrence rate is V (the average of occurrence of the event) and the event took place during a time interval t, the poisson distribution with exactly x successes in the same sampling period has the following properties.


Density Function Distribution Function
 
Mean = µ
Variance =
s2

Standard Deviation = s