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3.5.3.3.14 Norminv

Definition:

$xp = norminv(p)$ computes the deviate, $x_p$ , associated with the given lower tail probability, $p$ , of the standardized normal distribution

$x_p$ is calculated for the given $p$ such that

$p=\frac 1{\sqrt{2\pi }}\int_{-\infty }^{x_p}e^{-u^2/2}du$ $-\infty <x_p<\infty$

p (input, double): the probability, $p$ , from the required standardized Normal distribution. $0<p<1$
xp (output, double): the deviate, $x_p$ .