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Normal and Inverse Normal Distribution Calculator

Calculate probabilities of the normal distribution and values of the inverse normal distribution

For the given mean and standard deviation, the calculator will find various probabilities for the random variable, and vice versa: for the specified probability, it will find the values of the random variable (inverse operation).

$$$P(X\le$$$
$$$)=?$$$
$$$P(X\ge$$$
$$$)=?$$$
$$$P($$$
$$$\le X\le$$$
$$$)=?$$$
$$$P(X\le?)=$$$
$$$P(X\ge?)=$$$
$$$P(?\le X\le?)=$$$
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Your Input

Calculate $$$P\left(?\le X\le?\right) = 0.95$$$ for the normal distribution with $$$\mu = 0$$$ and $$$\sigma = 1$$$.

Answer

$$$P\left(-1.959963984540054\le X\le1.959963984540054\right) = 0.95$$$A