Normal Distribution

Functions > Statistics > Probability Distributions > Normal Distribution

Normal Distribution

The following functions are associated with the normal equation:

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• dnorm(x, μ, σ)—Returns the probability density for value x.

• pnorm(x, μ, σ)—Returns the cumulative probability distribution for value x.

• qnorm(p, μ, σ)—Returns the inverse cumulative probability distribution for probability p.

• rnorm(m, μ, σ)—Returns a vector of m random numbers having the normal distribution.

• cnorm(x)—Returns the cumulative probability distribution with mean 0 and variance 1.

Arguments

• x is a scalar or vector of real values.

• μ is a real mean.

• σ is a real standard deviation, σ> 0.

• p is a real probability, 0 ≤ p ≤ 1.

• m is an integer, m > 0.

Related Topics

About Probability Distribution Functions

Example: Generating Random Numbers

Example: Probability Density and Cumulative Probability Distribution

Example: Hypothesis Test of a Normal Mean

Example: Z-Score of a Vector of Data

Example: Seed for Random Number Generation

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