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Category: Probability Distributions

Poisson Distribution Explained

Posted on April 19, 2020April 8, 2022 By admin No Comments on Poisson Distribution Explained

Poisson Distribution outputs the probability of a sequence of events happening in a fixed time interval.

Probability, Probability Distributions

Uniform Probability Distribution

Posted on April 7, 2020April 22, 2020 By admin No Comments on Uniform Probability Distribution
Uniform Probability Distribution

In a Uniform Distribution Probability Density Function (PDF) is same for all the possible X values. Sometimes this is called a Rectangular Distribution. There are two (2) parameters in this distribution, a minimum (A) and a maximum (B)

Probability, Probability Distributions

Normal Distribution, Z Scores and Standardization Explained

Posted on April 7, 2020May 17, 2020 By admin 4 Comments on Normal Distribution, Z Scores and Standardization Explained
Normal Distribution, Z Scores and Standardization Explained

Normal Distribution is the most important probability distribution in Probability and Statistics. A normal probability distribution is a bell shaped curve. Many numerical populations have distributions that can be fit very closely by an appropriate normal curve.

Probability Distributions

Probability Density Function

Posted on April 7, 2020April 22, 2020 By admin No Comments on Probability Density Function
Probability Density Function

Earlier we used Probability Mass Function to describe how the total probability of 1 is distributed among the possible values of the Discrete Random Variable X.

Probability Distributions

Random Variables in Statistics

Posted on April 3, 2020April 23, 2020 By admin No Comments on Random Variables in Statistics
Random Variables in Statistics

A Random Variable is any rule that maps (links) a number with each outcome in sample space S. Mathematically, random variable is a function with Sample Space as the domain. It’s range is the set of Real Numbers.

Probability Distributions

Negative Binomial Distribution

Posted on April 2, 2020April 22, 2020 By admin No Comments on Negative Binomial Distribution
Negative Binomial Distribution

In the Negative Binomial Distribution, we are interested in the number of Failures in n number of trials. This is why the prefix “Negative” is there. When we are interested only in finding number of trials that is required for a single success, we called it a Geometric Distribution.

Probability, Probability Distributions

Binomial Probability Distribution

Posted on March 30, 2020May 17, 2020 By admin No Comments on Binomial Probability Distribution
Binomial Probability Distribution

Binomial Distribution is used to find probabilities related to Dichotomous Population. It can be applied to a Binomial Experiment where it can result in only two outcomes. Success or Failure. In Binomial Experiments, we are interested in the number of Successes.

Probability, Probability Distributions

Probability Mass Function

Posted on March 27, 2020August 29, 2021 By admin No Comments on Probability Mass Function
Probability Mass Function

Probability Mass Function (PMF) of X says how the total probability of 1 is distributed (allocated to) among the various possible X values.

Probability, Probability Distributions, Statistics

Expected Value of a Random Variable

Posted on March 19, 2020April 13, 2022 By admin No Comments on Expected Value of a Random Variable
Expected Value of a Random Variable

Expected Value is the average value we get for a certain Random Variable when we repeat an experiment a large number of times. It is the theoretical mean of a Random Variable. Expected Value is based on population data. Therefore it is a parameter.

Probability, Probability Distributions, Statistics

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