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Univariate Discrete Distributions: An Easy-to-Understand Explanation

Member-only storyJanik and Patrick TinzFollowTowards Data Science--ShareDo you know this feeling? You want to learn something new, but you don’t know where to start. This is how we felt when we wanted to understand distributions mathematically. Yes, our professor explained all these distributions to us, but only mathematically, with formulas! Our professor didn’t explain it in an easy-to-understand way with visuals.That’s why we wrote this article about the most important univariate discrete distributions. We want to explain to you these distributions mathematically and visually. Our goal is that you understand the relationship between the maths and the Distribution plot. In addition, we also present you an example for each distribution.As a Data Scientist, it is important to understand how distributions work. Distribution assumptions are the backbone for some ML algorithms and are essential to solving statistical questions, for example in the insurance industry.We’ll discuss the following distributions:Let’s dive in!A Bernoulli distribution with parameter p exists if a random variable X has two possible outcomes (labeled by 0 or 1). X=1 (success) occurs with a probability p, and X=0 (failure) occurs with a probability 1-p.Let’s look at an example.X represents the outcome of a coin toss, where X=1 (head) and X=0 (tail). p is the probability that the coin falls on head.Next, you look at a visual and a mathematical explanation of the Bernoulli distribution. First, we start with the mathematics!The Bernoulli distribution has the following requirements:----Towards Data ScienceM. Sc. Data Science | Artificial Intelligence and Entrepreneurship | Editor towardsfinance.comJanik and Patrick TinzinTowards AI--Damian GilinTowards Data Science--24Adrian H. RaudaschlinTowards Data Science--19Janik and Patrick TinzinTowards Data Science--1Satya RepalainAI Mind--Huda Swati--Learn with Nas--2Vishal RajputinAIGuys--6Anmol Tomar--1tenzin migmar (t9nz)inTowards Data Science--2HelpStatusAboutCareersBlogPrivacyTermsText to speechTeams



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Univariate Discrete Distributions: An Easy-to-Understand Explanation

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