# Standard normal distribution Calculator

## Calculates the probability density function and lower, upper and inner cumulative distribution functions of the standard normal distribution.

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

Standard normal distribution
 [1-5] /5 Disp-Num5103050100200
[1]  2017/12/14 00:54   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Testing my fortran subroutine PNORM
[2]  2017/06/15 23:33   Male / - / High-school/ University/ Grad student / Very /
Purpose of use
calculating VERY large number stes
[3]  2017/05/23 14:41   Male / 50 years old level / An engineer / Useful /
Purpose of use
test
[4]  2012/03/03 22:01   Male / 30 years old level / A teacher / A researcher / - /
Purpose of use
research
Comment/Request
what we use the standard normal distribution
[5]  2009/07/01 07:33   Female / Under 20 / A junior high student / Very /
Purpose of use
for fun during a long boring summer
Comment/Request
very good site layout, easy to navigate

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