Types of Distribution

Types of Distribution

Dhiresh Patil

What are the different types of distributions and give details of each

There are many types of distributions, and the specific type of distribution that is appropriate for a given dataset depends on the characteristics of the data. Here are a few common types of distributions:

Normal Distribution: A normal distribution is a type of continuous probability distribution with a bell-shaped curve. It is symmetrical, with the mean, median, and mode all being equal. The normal distribution is often used to model real-valued random variables, and it is often used in statistical tests.

Uniform Distribution: A uniform distribution is a type of continuous probability distribution where all values within a certain range are equally likely to occur. It is defined by two parameters, a and b, which represent the minimum and maximum values of the range, respectively. The uniform distribution is often used to model situations where the probability of an event occurring is constant.

Binomial Distribution: A binomial distribution is a type of discrete probability distribution that models the outcome of a Bernoulli experiment, which is a two-outcome experiment. A Bernoulli experiment is one in which the outcome is either success (1) or failure (0). The binomial distribution is defined by two parameters, n and p, where n is the number of Bernoulli trials and p is the probability of success for each trial. The binomial distribution is often used to model the number of successes in a series of independent and identically distributed Bernoulli trials.

Poisson Distribution: A Poisson distribution is a type of discrete probability distribution that models the number of times an event occurs in a fixed time interval. It is defined by a single parameter, λ (lambda), which represents the average number of events per time interval. The Poisson distribution is often used to model the number of times an event occurs in a given time period, such as the number of customers that arrive at a store in an hour.

Exponential Distribution: An exponential distribution is a type of continuous probability distribution that models the time between events in a Poisson process, which is a process in which events occur at a constant average rate. It is defined by a single parameter, λ (lambda), which represents the average rate at which events occur. The exponential distribution is often used to model the time it takes for an event to occur, such as the time it takes for a machine to fail or the time it takes for a customer to complete a task.