Mathematics

Classical or Mathematical Probability Examples

Classical or Mathematical Probability Examples Data Science and A.I. Lecture Series   What You Will Learn The definition and basic concepts of probability. Examples of classical probability problems. Application of probability rules such as complements and odds. Step-by-step solutions to real-world probability problems. Introduction Probability is the study of uncertainty. It provides tools to measure […]

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Exhaustive, Favourable, Mutually Exclusive, and Equally Likely Cases

  Master Probability Concepts: Exhaustive, Favourable, Mutually Exclusive, and Equally Likely Cases Welcome to the Data Science and AI Lecture Series brought to you by PostNetwork Academy. What Will We Learn? Exhaustive Cases: Understanding the total number of outcomes in a random experiment. Favourable Cases: Identifying outcomes that lead to the occurrence of an event.

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Covariance Explained: Change of Origin vs. Scale Made Simple!

Covariance Explained: Change of Origin vs. Scale Made Simple! Welcome to PostNetwork Academy’s Data Science and AI Lecture Series! In this post, we’ll explore the mathematical concept of covariance and how it behaves under changes of origin and scale. Let’s break it down step by step. Theorem: Covariance Independence We aim to prove that: Covariance

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Moments and Pearson’s Coefficient Simplified | Data Science & A.I. Lecture Series

  Introduction Welcome to the Data Science and A.I. Lecture Series presented by PostNetwork Academy. In this session, we’ll focus on key statistical concepts: moments about the mean, skewness, and kurtosis. These concepts are essential in understanding data distribution characteristics and play a significant role in data science, artificial intelligence, and statistical analysis. In this

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Binomial Distribution

Understand Binomial Distribution

Before understanding Binomial distribution you have to understand Bernoulli trial. What is Bernoulli trial? A Bernoulli trial is a random experiment in which  there are two possible outcomes failure and success getting head when tossing a coin is success and getting tail is failure getting 4 is success when rolling a dice and failure when

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variance-and-standard-deviation

Variance and Standard Deviation

Variance and Standard Deviation are both essential concepts in statistics and finance. Let’s explore the differences between them: Variance: Definition: Variance is a numerical value that describes the variability of observations from their arithmetic mean. Calculation: To find the variance, calculate the squared differences between each data point and the mean, then average these squared

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Random Variable and Probability Mass Function

Random Variable and Probability Mass Function

Random variable   is a very  important concept in probability, statistics, data science and machine learning, one must  learn concept of random variable and related concepts. In this post, I have explained random variable and probability mass function that will help you to have basic understanding of  random variable and probability mass function. To understand random

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