Probability Function Calculator

S. Purcell, 2000, 2005.
This site is designed to provide a calculator for the chi-squared and normal distributions. See below for notes on how to use the forms.
X P(X>x) df NCP
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x P(X>x) mean SD
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X : critical value for statistic
P(X>x) : probability of being above the critical value
df : degrees of freedom
NCP : noncentrality parameter

For central chi-squared distribution, NCP = 0.
i.e. df=1, P(X>x) = 0.05, NCP = 0 gives X = 3.84146

For standard normal distribution, mean = 0, sd = 1
i.e. mean = 0, sd = 1, P(X>x) = 0.025 give X = 1.95996