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In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f ( x ) = 1 2 π σ 2 e − ( x − μ ) 2 2 σ 2 . {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}e^{-{\frac ...
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In statistics, the 68–95–99.7 rule, also known as the empirical rule, and sometimes abbreviated 3sr, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
In probability theory and directional statistics, a wrapped normal distribution is a wrapped probability distribution that results from the "wrapping" of the normal distribution around the unit circle. It finds application in the theory of Brownian motion and is a solution to the heat equation for periodic boundary conditions.
Mu (/ ˈ m (j) uː /; [1] [2] uppercase Μ, lowercase μ; Ancient Greek μῦ, Greek: μι or μυ—both ) is the twelfth letter of the Greek alphabet, representing the voiced bilabial nasal IPA:. In the system of Greek numerals it has a value of 40. [ 3 ]
Micro (Greek letter μ, mu, non-italic) is a unit prefix in the metric system denoting a factor of 10 −6 (one millionth). [1] It comes from the Greek word μικρός (mikrós), meaning "small". [2] It is the only SI prefix which uses a character not from the Latin alphabet.
In statistics, Cochran's theorem, devised by William G. Cochran, [1] is a theorem used to justify results relating to the probability distributions of statistics that are used in the analysis of variance. [2]
In statistics, a standard normal table, also called the unit normal table or Z table, [1] is a mathematical table for the values of Φ, the cumulative distribution function of the normal distribution.