# Normal distribution (chart) Calculator

## Calculates a table of the probability density function, or lower or upper cumulative distribution function of the normal distribution, and draws the chart.

 select function probability density f lower cumulative distribution P upper cumulative distribution Q
mean μ
standard deviation σ
 σ＞0
[ initial percentile x
increment
 repetition ]
 The default value μ and σ shows the standard normal distribution.$\normal Normal\ distribution\ N(x,\mu,\sigma)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\mu,\sigma)={\large\frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\mu,\sigma)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t,\mu,\sigma)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\mu,\sigma)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\mu,\sigma)dt\\$

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