Geometric Distribution: Definition, Properties and Applications

geometric distribution

The geometric distribution is a discrete probability distribution that illustrates the probability that a Bernoulli trial will result in multiple failures before success. A Bernoulli trial is an experiment that can have only two possible outcomes, i.e., success or failure. In a geometric distribution, a Bernoulli trial is essentially repeated until success is attained. More … Read more

Hypergeometric Distribution: Definition, Properties and Applications

hypergeometric distribution

In probability statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, wherein each draw is either a success or a failure.     Mathematical definition A discrete random … Read more

Poisson Distribution: Definition, Properties and applications with real life example

poisson distribution

The Poisson distribution is a powerful statistical tool used to model the probability of a certain number of events occurring within a fixed interval of time or space. Whether you’re trying to predict the number of customer service calls received per hour, the number of typos on a page, or the number of cars passing … Read more

Bernoulli Distribution: Definition, Properties and Applications

bernoulli distribution

The Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is a foundational concept in probability theory and statistics. While seemingly simple, it forms the basis for many more complex models and algorithms. Understanding the Bernoulli distribution is crucial for anyone working with data, particularly in fields like machine learning, data science, and analytics. Bernoulli distribution … Read more

Binomial Distribution: Definition, PDF, properties and application

binomial distribution

The binomial distribution is a cornerstone of probability and statistics, frequently popping up in fields ranging from scientific research to marketing analytics. While the name might sound intimidating, understanding its core principles unlocks a powerful tool for predicting and analyzing events with binary outcomes – think coin flips, survey responses, or website conversions. Binomial distribution … Read more

Normal distribution: Definition, pdf, properties with applications

normal distribution

One of the most important tools in statistics is the normal distribution. It aids in determining specific data features and also serves as a foundation for employing other statistical techniques for decision-making. As a result, in this article, we look at the Normal distribution and its application in real life. In probability, the normal distribution … Read more

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