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Where μ is the mean of the theoretical distribution σ is the standard deviation and π 3 14159 this density function extends from to.
Normal probability distribution math. A particularly useful version of the normal distribution is the standard normal distribution where the mean parameter is 0 and the variance parameter is 1. In probability theory a normal or gaussian or gauss or laplace gauss distribution is a type of continuous probability distribution for a real valued random variable the general form of its probability density function is the parameter is the mean or expectation of the distribution and also its median and mode while the parameter is its standard deviation. The pdf of z is given by. Area under the normal curve using integration.
The probability of a continuous normal variable x found in a particular interval a b is the area under the curve bounded by x a and x b and is given by p a x b int a bf x dx and the area depends upon the values of μ and σ. The probability density function for the normal distribution is given by.
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