Probability Distribution Calculators

Bernoulli Distribution Calculator

Apr 25, 2024
STATISTICS

Bernoulli Distribution Calculator Bernoulli’s distribution calculator can help you to determine the mean, variance and probability for Bernoulli’s distribution with parameter probability of success

$p$ . Bernoulli Distribution Calculator Probability of success (p): Number of success (x): Calculate Result Probability : P(X = x) Mean : E(X) Variance : V(X) Standard Deviation : How to use Bernoulli Process Calculator? Step 1 - Enter the Probability of Success Step 2 - Enter the Number of Success

Beta Type I Distribution Calculator

Apr 25, 2024
STATISTICS

Beta Type I Distribution Calculator Use this calculator to find the probability density and cumulative probabilities for Beta Type I distribution with parameter

$\alpha$ and

$\beta$ . Beta Type I Distribution Calculator First Parameter

$\alpha$ : Second Parameter

$\beta$ Value of x Calculate Results Probability density : f(x) Probability X less than x: P(X < x) Probability X greater than x: P(X > x) Definition of Beta Type I Distribution A continuous random variable

$X$ is said to have a beta type I distribution with parameter

$\alpha$ and

$\beta$ if its p.

Beta Type II Distribution Calculator

Apr 25, 2024
STATISTICS

Beta Type II Distribution Calculator Use this calculator to find the probability density and cumulative probabilities for Beta Type II distribution with parameter

$\alpha$ and

$\beta$ . Beta Type II Distribution Calculator First Parameter

$\alpha$ : Second Parameter

$\beta$ Value of x Calculate Results Probability density : f(x) Probability X less than x: P(X < x) Probability X greater than x: P(X > x) Definition of Beta Type II Distribution A continuous random variable

$X$ is said to have a beta type II distribution with parameter

$\alpha$ and

$\beta$ if its p.

Cauchy Distribution Calculator

Apr 25, 2024
STATISTICS

Cauchy Distribution Calculator Use Cauchy calculator to find the probability density and cumulative probabilities for Cauchy distribution with parameter

$a$ and

$b$ . Cauchy Distribution Calculator Location parameter

$\mu$ : Scale parameter

$\lambda$ Value of x Calculate Results Probability density : f(x) Probability X less than x: P(X < x) Probability X greater than x: P(X > x) How to use Cauchy Calculator? Step 1 - Enter the location parameter Step 2 - Enter the Scale parameter

Chebyshev's Inequality Calculator

Apr 25, 2024
STATISTICS

The following Chebyshev’s inqeuality calculator shows you how to calculate required probability from the given standard deviation value (k) or P(X>B) or P(A<X<B) or outside A and B. Chebyshev’s Inequality Theorem Calculator with Steps Chebyshev's Inequality Calculator Find k P(X > B) P(A< X < B) and Outside A and B and Calculate Results Required Probability : Step-by-step procedure to use Chebyshev’s Inequality Theorem Calculator: Choose the type of calculation you want to perform by selecting one of the four options: Find k: To find the value of k (standard deviation) for a given probability.

Discrete Uniform Distribution Calculator

Apr 25, 2024
STATISTICS

Discrete Uniform Distribution Calculator Discrete uniform distribution calculator can help you to determine the probability and cumulative probabilities for discrete uniform distribution with parameter

$a$ and

$b$ . A discrete random variable has a discrete uniform distribution if each value of the random variable is equally likely and the values of the random variable are uniformly distributed throughout some specified interval. Use this discrete uniform distribution calculator to find probability and cumulative probabilities.

Expected value and variance of probability distribution Calculator

Apr 25, 2024
STATISTICS

Expected value and variance of probability distribution Expectation and variance of Prob. Dist Values of

$X$ (Separated by comma ,) Probabilities

$P_x$ (Separated by comma ,) Calculate Results Expected value of

$X$ :

$E(X)$ Variance of

$X$ :

$\sigma^2$ Standard deviation of

$X$ :

$\sigma$ Formula

$E(X) =\mu = \sum_x x*P(X=x)$

$V(X) =\sigma^2 = E(X^2) -[E(X)]^2$ where

$E(X^2) = \sum_x x^2*P(X=x)$

Exponential Distribution Calculator

Apr 25, 2024
STATISTICS

Exponential Distribution Calculator Use this calculator to find the probability density and cumulative probabilities for Exponential distribution with parameter

$\theta$ . Exponential Distribution Calculator Parameter

$\theta$ : Value of A Value of B Calculate Exponential Probability Results Probability X less than A: P(X < A) Probability X greater than B: P(X > B) Probability X is between A and B: P(A < X < B) Mean =

$1/\theta$ Variance =

$1/\theta^2$ Standard deviation =

$1/\theta$ How ito use Exponential Probability Density Function Calculator?

Gamma Distribution Calculator

Apr 25, 2024
STATISTICS

Gamma distribution is used to model a continuous random variable which takes positive values. Gamma distribution is widely used in science and engineering to model a skewed distribution. A gamma distrubution calculator can be used to calculate the probability density function (PDF), cumulative distribution function (CDF) and random numbers from a gamma distribution. Use Gamma Distribution Calculator to calculate the probability density and lower and upper cumulative probabilities for Gamma distribution with parameter

$\alpha$ and

$\beta$ .

Geometric Distribution Calculator

Apr 25, 2024
STATISTICS

Geometric Distribution Calculator Geometric distribution calculator is used to find the probability and cumulative probabilities for geometric random variable given the probability of success (

$p$ ). Geometric Distribution Calculator Probability of success (p): No. of failure before first success (x): Calculate Geometric Distribution Result Probability : P(X = x) Cumulative Probability : P(X ≤ x) Cumulative Probability : P(X < x) Cumulative Probability : P(X ≥ x) Cumulative Probability : P(X > x) How to use geometric distribution calculator?

Hypergeometric Distribution Calculator

Apr 25, 2024
STATISTICS

Hypergeometric Distribution Calculator Use hypergeometric distribution calculator to find the probability and cumulative probabilities for Hypergeometric random variable. Hypergeometric Distribution Calculator Population size (N): No. of Successes in Population (M): Sample size (n): No. of Successes in sample (x): Calculate Hypergeometric Calculator Result Probability : P(X = x) Cumulative Probability : P(X ≤ x) Cumulative Probability : P(X < x) Cumulative Probability : P(X ≥ x) Cumulative Probability : P(X > x) How to use Hypergeometric distribution calculator?

Laplace Distribution Calculator

Apr 25, 2024
STATISTICS

Laplace Distribution Calculator Use this calculator to find the probability density and cumulative probabilities for Laplace distribution with parameter

$\mu$ and

$\lambda$ . Laplace Distribution Calculator Location parameter

$\mu$ : Scale parameter

$\lambda$ Value of x Calculate Results Probability density : f(x) Probability X less than x: P(X < x) Probability X greater than x: P(X > x) Laplace Distribution The probability density function of Laplace distribution with parameter

$\mu$ and

$\lambda$ is $$ \begin{equation*} f(x;\mu, \lambda)=\left\{ \begin{array}{ll} \frac{1}{2\lambda}e^{-\frac{|x-\mu|}{\lambda}}, & \hbox{$-\infty < x< \infty$;} \\ & \hbox{$-\infty < \mu < \infty$, $\lambda >0$;} \\ 0, & \hbox{Otherwise.