# Mathematica equivalent of qnorm or invNorm

In R and TI-89 you can do

qnorm(prob, mu, sigma) or invNorm(prob, mu, sigma) to get a value of x such that $P(Z < x)$ along a normal curve defined by the specified mean and standard deviation equals prob.

While I could do something like:

Solve[CDF[NormalDistribution[mu, sigma], x] == prob, x]

this is cumbersome.

While I could also use Mathematica's RLink functionality, I would like to know whether there is a native command that does this.

• You could also use InverseErf, but that's cumbersome too. – user484 Jun 12 '15 at 4:32

InverseCDF[NormalDistribution[mu, sigma], prob]
• Quantile[NormalDistribution[mu, sigma], prob] saves 2 ;-) – ciao Jun 12 '15 at 4:48
• But why not define q[prob_, mu_, sigma_] := InverseCDF[...]? You'd be using the native command and saving keystrokes. – ilian Jun 12 '15 at 5:15