# Standard normal distribution (percentile) Calculator

## Calculates the percentile from the lower, upper or inner cumulative distribution function of the standard normal distribution.

cumulative mode
 lower P upper Q inner I

cumulative distribution
 0≦P,Q≦1
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt

 $\normal Standard\ Normal\ distribution\ N(x)\\[10](1)\qquad probability\ density\\\hspace{30}f(x)={\large\frac{1}{\sqrt{2\pi}}e^{-\frac{x^2}{2}}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t)dt\\(4)\qquad inner\ cumulative\ distribution\\\hspace{30}I(x)={\large\int_{\small -x}^{\hspace{25}\small x}}f(t)dt\\$

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