In mathematics a Gaussian Distribution Function is a
function of the form:
The Gaussian distribution is one of the most
commonly used probability distribution for applications. If the number of
events is very large, then the Gaussian distribution function may be used to
describe physical events. The Gaussian distribution is a continuous function
which approximates the exact binomial distribution of events :
of distribution :variance
of the distribution y is a continuous variable
Probability (P) of y being in the range
[a, b] is given by an integral
Total area under the curve is normalized
The probability integral:
Gaussian distribution is also commonly called the "normal distribution"
and is often described as a "bell-shaped curve".
Diagram shows Normalized Gaussian curves with expected value and variance The corresponding parameters are a= ,
normal distribution with mean 0 and standard deviation 1 N(0;1)is called the standard normal distribution.
random variable with the standard normal distribution is called a standard normal random variable and is usually denoted by Z.
cumulative probability distribution of the standard normal distribution
been tabulated and is used to calculate probabilities for any normal random
gives the area under the curve to the left of
The distribution is symmetric
Look at the graph below and suppose Z is a standard random variable. Calculate:
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ONLINE QUIZ ABOUT GAUSSIAN DISTRIBUTION
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