Introduction to Discrete & Continuous Probability Distributions

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  ✅ 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. ๐Ÿงฎ 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  ๐Ÿ“Œ Discrete Probability Distributions ๐ŸŽฏ 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...
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Discrete and Continuous Varaible

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 Discrete and continuous variables are two types of variables used in statistics and mathematics.

A discrete variable is a type of variable that can only take on specific, separate values. These values are usually countable and often represent whole numbers. For example, the number of students in a classroom, the number of cars sold in a day, or the number of pets in a household are all examples of discrete variables. Discrete variables are usually represented using a histogram or a bar graph.

A continuous variable is a type of variable that can take on any value within a certain range or interval. These values are usually measured and can be infinitely subdivided. For example, height, weight, temperature, and time are all examples of continuous variables. Continuous variables are usually represented using a line graph or a scatter plot.

One key difference between discrete and continuous variables is that it is often possible to find the exact value of a continuous variable, while it is usually not possible to find the exact value of a discrete variable. For example, if a person's height is 1.75 meters, it is possible to measure this height precisely using a ruler, but if there are 3 people in a room, it is not possible to have a fraction of a person.

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