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Introduction to Discrete & Continuous Probability Distributions

  ✅ 1. What is a Probability Distribution? A probability distribution describes how probabilities are distributed over the values of a random variable . Random Variable : A variable whose values are outcomes of a random phenomenon. 🧮 2. Types of Probability Distributions Type Description GIS Example Discrete           Takes countable values  Number of landslides per year in a          valley Continuous          Takes infinite values over an                 interval Rainfall (mm), elevation, temperature  📌 Discrete Probability Distributions 🎯 3. Binomial Distribution ✅ Definition : Used when an experiment is repeated n times , and each trial has two outcomes : success or failure. ✅ Conditions : Fixed number of trials (n) Only two possible outcomes per trial (success/failure) Constant probability of success (p) Trials are in...

Bar Graph

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  A bar graph , also known as a bar chart, is a visual representation of data using rectangular bars of varying lengths. It is commonly used to compare and display categorical or discrete data, where each category or group is represented by a separate bar. Creating a Bar Graph: To create a bar graph, follow these steps: Identify the data: Determine the data you want to represent in the bar graph. This data should be categorical or discrete, such as different categories, groups, or time periods. Choose the axes : Decide which variable you want to represent on the x-axis (horizontal axis) and which variable you want to represent on the y-axis (vertical axis). The x-axis typically represents the categories or groups, while the y-axis represents the values or frequencies associated with each category. Determine the scale : Determine the appropriate scale for each axis. The scale should allow for a clear and meaningful representation...