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normpdf


Normal probability density function


Syntax


y = normpdf(x)
y = normpdf(x, mu)
y = normpdf(x, mu, sigma)

Input argument


x

scalar value or array: Values at which to evaluate pdf.

mu

scalar value, 0 (default) or array: Mean.

sigma

positive scalar value, 1 (default) or array of positive values: Standard deviation.

Output argument


y

scalar value or array: pdf values.

Description


y = normpdf(x) calculates the probability density function (pdf) of the standard normal distribution at the given values in x.

y = normpdf(x, mu) computes the pdf of the normal distribution with a mean of mu and a standard deviation of 1, evaluated at the provided values in x.

y = normpdf(x, mu, sigma) determines the pdf of the normal distribution with a mean of mu and a standard deviation of sigma, evaluated at the specified values in x.

Bibliography


Evans, M., N. Hastings, and B. Peacock. Statistical Distributions. 2nd ed. Hoboken, NJ: John Wiley and Sons, Inc., 1993.

Example


x = [-0.2, -0.1, 0, 0.1, 0.2];
R = normpdf(x);

x = [-0.2, -0.1, 0, 0.1, 0.2];
R = normpdf(x, 2, 1);

R = normpdf(0, [-0.2, -0.1, 0, 0.1, 0.2], 1);

See also


mean.

History


Version Description
1.0.0 initial version

Author


Allan CORNET

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