Probability Distribution Calculators

Binomial Distribution Calculator Binomial distribution calculator is used to find the probability and cumulative probabilities for binomial random variable given the number of trials ($n$) and probability of success ($p$). It also calculate mean of binomial distribution,variance of binomial distribution. Binomial Probability Calculator Binomial Probability Calculator Number of trials ($n$): Number of success (x): Probability of success ($p$): Binomial Calculate Binomial Distribution Calculator Result Mean : $np$ Variance : $np(1-p)$ 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 Binomial Distribution Calculator with step by step?

Continuous Uniform Distribution Calculator Use Uniform Distribution Calculator computes probability density and cumulative probabilities associated with continuous uniform distribution. This distribution is characterized by a constant probability density function over a specified interval. The continuous uniform distribution is the simplest probability distribution where all the values belonging to its support have the same probability density. It is also known as rectangular distribution. Use this Uniform distribution calculator to calculate probability density,probability X less than x and probability X greater than x using minimum value of alpha, maximum value of beta,value of x.

Normal Approximation to Binomial Distribution Calculator Normal approximation allows you to estimate binomial probabilities using the normal distribution. While the binomial distribution is vital tool in statistics used to calculate the probability of success in the a series of independent trials. However, calculating the exact probabilities for the binomial distribution can become tedious, expecially with numerous trials. The built-in calculator allows you to easily estimate the binomial probabilities using the normal distributions.

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 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 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 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 Use below Chebyshev’s inqeuality calculator 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 Calculator Find k P(X > B) P(A< X < B) and Outside A and B and Calculate Results Required Probability : Chebyshev Inequality Formula Let $X$ be a random variable with mean $\mu$ and finite variance $\sigma^2$. Then for any real constant $k>0$, $$ \begin{equation*} P[|X-\mu| \geq k\sigma] \leq \frac{1}{k^2}\quad \text{ and }\quad P[|X-\mu|< k\sigma] \geq 1-\frac{1}{k^2} \end{equation*} $$

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 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 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 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 $\beta$.