Probability and Statistics Calculator
Probability Calculator
N
Normal Distribution
Calculate probabilities and percentiles for normal distribution
Calculate Probabilities
P(X ≤ x)
P(X > x)
P(x₁ < X ≤ x₂)
Calculate Probability
Clear
Calculate Percentiles
Calculate Percentile
Clear
B
Binomial Distribution
Calculate probabilities for binomial distribution
P(X = x)
P(X ≤ x)
P(X ≥ x)
P(x₁ ≤ X ≤ x₂)
Calculate
Clear
P
Poisson Distribution
Calculate probabilities for Poisson distribution
P(X = x)
P(X ≤ x)
P(X ≥ x)
P(x₁ ≤ X ≤ x₂)
Calculate
Clear
E
Exponential Distribution
Calculate probabilities and percentiles for exponential distribution
Calculate Probabilities
P(X ≤ x)
P(X > x)
P(x₁ < X ≤ x₂)
Calculate Probability
Clear
Calculate Percentiles
Calculate Percentile
Clear
Γ
Gamma Distribution
Calculate probabilities and percentiles for Gamma distribution
Calculate Probabilities
P(X ≤ x)
P(X > x)
P(x₁ < X ≤ x₂)
Calculate Probability
Clear
Calculate Percentiles
Calculate Percentile
Clear
β
Beta Distribution
Calculate probabilities and percentiles for Beta distribution
Calculate Probabilities
P(X ≤ x)
P(X > x)
P(x₁ < X ≤ x₂)
Calculate Probability
Clear
Calculate Percentiles
Calculate Percentile
Clear
G
Geometric Distribution
Calculate probabilities for Geometric distribution (failures before first success)
P(X = x)
P(X ≤ x)
P(X ≥ x)
P(x₁ ≤ X ≤ x₂)
Calculate
Clear
H
Hypergeometric Distribution
Calculate probabilities for Hypergeometric distribution (sampling without replacement)
P(X = x)
P(X ≤ x)
P(X ≥ x)
P(x₁ ≤ X ≤ x₂)
Calculate
Clear
LN
Log-normal Distribution
Calculate probabilities and percentiles for Log-normal distribution
Probability Density
P(X ≤ x)
Percentile
Calculate
Clear
NB
Negative Binomial Distribution
Calculate probabilities for Negative Binomial distribution (failures before r-th success)
P(X = x)
P(X ≤ x)
P(X ≥ x)
P(x₁ ≤ X ≤ x₂)
Calculate
Clear
P
Pareto Distribution
Calculate probabilities and percentiles for Pareto distribution
Probability Density
P(X ≤ x)
Percentile
Calculate
Clear
W
Weibull Distribution
Calculate probabilities and percentiles for Weibull distribution
Probability Density
P(X ≤ x)
Percentile
Calculate
Clear
Critical Values Calculator
Z
Calculate z Critical Value
Calculate z critical value based on significance level (standard normal distribution)
Calculate
Clear
T
Calculate t Critical Value
Calculate t critical value based on degrees of freedom and significance level
Calculate
Clear
F
Calculate F Critical Value
Calculate F critical value based on degrees of freedom and significance level
Calculate
Clear
χ²
Calculate Chi-square Critical Value
Calculate chi-square critical value based on degrees of freedom and significance level
Calculate
Clear
P-value Calculator
Z
Calculate p-value from z-statistic
Calculate p-value based on z-statistic (standard normal distribution)
Calculate
Clear
T
Calculate p-value from t-statistic
Calculate p-value based on t-statistic and degrees of freedom
Calculate
Clear
F
Calculate p-value from F-statistic
Calculate p-value based on F-statistic and degrees of freedom
Calculate
Clear
χ²
Calculate p-value from Chi-square statistic
Calculate p-value based on chi-square statistic and degrees of freedom
Calculate
Clear
Non-parametric Tests
W+
Wilcoxon Signed Rank Test
Test for median of paired differences (one-sample or paired)
P(W = w)
P(W ≤ w)
P(W ≥ w)
Calculate
Clear
W2
Wilcoxon Rank Sum Test
Mann-Whitney U test for comparing two independent samples
P(W = w)
P(W ≤ w)
P(W ≥ w)
Calculate
Clear
U
Mann-Whitney U Test
Direct U statistic for two independent samples comparison
P(U = u)
P(U ≤ u)
P(U ≥ u)
Calculate
Clear
R
Runs Test
Wald-Wolfowitz test for randomness of a sequence
P(R = r)
P(R ≤ r)
P(R ≥ r)
Calculate
Clear