## Chebyshev’s Inequality

Chebyshev’s Inequality Chebyshev’s Inequality is a very powerful inequality, because it applies to any probability distribution. Chebyshev’s Inequality is used to estimate the probability that …

Chebyshev’s Inequality Chebyshev’s Inequality is a very powerful inequality, because it applies to any probability distribution. Chebyshev’s Inequality is used to estimate the probability that …

Normal Distribution Normal distribution is one of the most fundamental distribution in Statistics. It is also known as Gaussian distribution. Definition of Normal Distribution A …

In this tutorial we will discuss some numerical examples on Poisson distribution where normal approximation is applicable. For large value of the $\lambda$ (mean of …

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Hypergeometric Distribution A hypergeometric experiment is an experiment which satisfies each of the following conditions: The population or set to be sampled consists of $N$ …

Normal Approximation to Binomial Calculator with examples Let $X$ be a Binomial random variable with number of trials $n$ and probability of success $p$. The …

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Poisson approximation to binomial distribution examples Let $X$ be a binomial random variable with number of trials $n$ and probability of success $p$. The mean …

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Meaning of Truncation The literal meaning of truncation is to ‘shorten’ or ‘cut-off’ or ‘discard’ something. We can define the truncation of a distribution as …

Truncated Poisson Distribution (at $X=0$) A discrete random variable $X$ is said to have truncated Poisson distribution (at $X=0$) if its probability mass function is …

Bernoulli Distribution Calculator Bernoulli’s Distribution Calculator can help you to calculate the mean, variance and probability for Bernoulli’s distribution with parameter probability of success $p$. …

Log-normal Distribution The continuous random variable $X$ has a log-normal distribution if the random variable $Y=\ln (X)$ has a normal distribution with mean $\mu$ and …