# Normal Distribution Calculator

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.

If $X$ is a normally distributed variable with the mean $\mu=$ and the standard deviation $\sigma=$, then
$P(X \leq$ $)=?$
$P(X \geq$ $)=?$
$P($ $\leq X \leq$ $)=?$
$P\left ( X \leq ? \right) =$
$P\left ( X \geq ? \right) =$
$P \left( -? \leq X \leq ? \right) =$
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Your input: calculate $P\left( -? \leq X \leq ? \right)=0.95$ with $\mu=0$ and $\sigma=1$

## Answer

$P\left(-0.975 \leq X \leq 0.975\right)=0.95$