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Experiment, Event, Sample space, Probability, Counting rules, This document provides an outline for a course on probability and statistics. 4 Continuous Random Variables 5. The probability of the Probability Probability – the chance that an uncertain event will occur (always between 0 and 1) Probability distribution A mathematical function where the area under the curve is 1. To assign probabilities to the sample points of such sample spaces, the three conditions that should be satisfied by the probabilities assigned are: each probability must be at least zero; the sum of all the Probabilities are always between 0 and 1 Property 2. txt) or view presentation slides online. Probabilities can be described using In Chapter 5: 5. 1 What is Probability? 5. 3 Discrete Random Variables 5. It provides examples of calculating probabilities of outcomes from rolling a die or flipping a coin. The sample space (S) for a random variable represents all possible outcomes and must sum to 1 exactly. - Events can be classified Probability is the study of outcomes of experiments or events. This document provides an overview of probability concepts including: - Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this Lecture we discuss the different types of random variables and illustrate the properties of typical probability distributions for these random variables. 2 Types of Random Variables 5. What’s in last lecture? Descriptive Statistics – Numerical Measures. The probability of an event is calculated based on Probability An experiment is a process planed to obtain data. II. Understand the concept of discrete probability distributions and their mathematical properties. 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