# Distributions

Uses of Poisson Distribution

The Poisson distribution is a discrete random distribution that can take all the non-negative integer values from zero to infinity. Poisson distribution can be used to explain the behavior of the discrete random variables...

Fitting of Binomial Distribution

Suppose a random experiment consists of n trials, satisfying the conditions of Binomial distribution, and suppose this experiment is repeated N times. Then thefrequency of r successes is given by the formula, Ntimes P(r)...

Finding Mode of Binomial Distribution

The mode of the binomial distribution is the value of X which maximizes the value of the binomial probability mass function. Thus if X = r gives mode then we should have p(r) >...

Two Point Distribution – Definition & Examples

The Two Point Distribution refers to a probability distribution of a discrete random variable that can take two different values with certain probabilities. The random variable can only take these two values and therefore...

Degenerate Distribution (One Point Distribution)

Degenerate Distribution/One Point Distribution refers to a probability distribution of a random variable that takes only a single value with probability 1. Since the random variable can only take one value the probability of...

Symmetric Histogram – Definition & Examples

A symmetric histogram is a histogram for which the mean and the median are equal. If we draw a line through the center of a symmetric histogram it will get divided into two equal...

Second Moment of Uniform Distribution – (With Proof)

Let X be a random variable following uniform distribution with values lying between 'a' and 'b'. The pdf of X is given by the formula, f(x) = begin{cases} frac{1}{b-a} & a leq x leq...

Bernoulli Distribution

The bernoulli distribution allows us to calculate the probabilities for a random variable that takes only two values - 0 and 1. What is a Bernoulli trial? An experiment in which there are only two possible...