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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. 🧮 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...
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Population vs Sample

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The first step of every statistical analysis you will perform is to determine whether the  data you are dealing with is a population or a sample. A population is the collection of all items of interest to our study and is usually denoted  with an uppercase N. The numbers we’ve obtained when using a population are called parameters.  A sample is a subset of the population and is denoted with a lowercase n, and the numbers  we’ve obtained when working with a sample are called statistics.  Now you know why the field we are studying is called statistics 😊 Let’s say we want to make a survey of the job prospects of the students studying in  the New York University.  What is the population?  You can simply walk into New York University and find every student, right?  Well, probably, that would not be the population of NYU students.  The population of interest includes not only the students on campus but also the ones at  home, on exchang...
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Introduction to Statistics

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  Statistics is  the science of collecting, organizing,  analyzing, and interpreting data. It is all  about data. First, we collect  data. Data just doesn't appear, we  collect it through surveys, experiment, or measuring and recording the information. Once we get the data then we organize it and put it in order either ascending or descending order. This is the most common thing to be applied to data. The data can be put in table form or can be represented in graphical form. To check what the data tells us, we analyze the data. We find the mean, median, mode, range, or standard deviation of the data. So  what statistics is all about it is  all about collecting data and using  it to help answer a question. S o statistics is all about answering a  question.   Now what exactly is a  good statistical question, well a  statistical question is where you expect  to get a variety of answers that is really big a variety of an...
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