Welcome to On Statistics

  • The Geometric Distribution: Unraveling the Mystery of “First Success”

    The Geometric Distribution: Unraveling the Mystery of “First Success”

    In the realm of probability, understanding the chances of achieving success after a series of independent trials with two possible outcomes (success and failure) is crucial. The geometric distribution emerges as a powerful tool for analyzing such scenarios, focusing on the number of trials required to experience the first success. What is the Geometric Distribution?…

  • CDF vs. PDF in the Realm of Probability

    CDF vs. PDF in the Realm of Probability

    When delving into the world of probability and statistics, two frequently encountered concepts are Probability Density Function (PDF) and Cumulative Distribution Function (CDF). Though both depict information about a random variable, they differ in their scope and what they represent. Understanding Random Variables Before diving into the differences between CDF and PDF, it’s crucial to…

  • Random Variables: The Building Blocks of Probability and Statistics

    Random Variables: The Building Blocks of Probability and Statistics

    In the realm of statistics and probability, understanding random variables is fundamental. These variables, often represented by symbols like X, Y, or Z, act as the building blocks for quantifying and analyzing uncertainty and variability. What are Random Variables? A random variable is a numerical variable whose value is uncertain before an experiment or observation…