Chapter 4: DISCRETE RANDOM VARIABLES2 Random variable is a numerical variable whose value is subject to variations due to chance. It is a numerical output.

Slides:



Advertisements
Similar presentations
Random Variables & Probability Distributions The probability of someone laughing at you is proportional to the stupidity of your actions.
Advertisements

Probability Basic Probability Concepts Probability Distributions Sampling Distributions.
Statistics for Managers Using Microsoft Excel, 4e © 2004 Prentice-Hall, Inc. Chap 5-1 Chapter 5 Some Important Discrete Probability Distributions Statistics.
Types of Random Variables Discrete random variables are ones that have a finite or countable number of possible outcomes (like number of heads when flipping.
Random Variables.
Sections 4.1 and 4.2 Overview Random Variables. PROBABILITY DISTRIBUTIONS This chapter will deal with the construction of probability distributions by.
QBM117 Business Statistics
Probability Distributions Finite Random Variables.
Expectation Random Variables Graphs and Histograms Expected Value.
Statistics Lecture 7. Last day: Completed Chapter 2 Today: Discrete probability distributions Assignment 3: Chapter 2: 44, 50, 60, 68, 74, 86, 110.
Slide Slide 1 Copyright © 2007 Pearson Education, Inc Publishing as Pearson Addison-Wesley. Created by Tom Wegleitner, Centreville, Virginia Section 5-2.
Chapter 9 Introducing Probability - A bridge from Descriptive Statistics to Inferential Statistics.
Copyright © Cengage Learning. All rights reserved. 5 Probability Distributions (Discrete Variables)
5-2 Probability Distributions This section introduces the important concept of a probability distribution, which gives the probability for each value of.
Chapter 1. deals with the collection, analysis, interpretation, and presentation of data. is the study of randomness and deals with chance occurrences.
Chapter 7: Random Variables
1 Overview This chapter will deal with the construction of probability distributions by combining the methods of Chapter 2 with the those of Chapter 4.
Statistics 5.2.
(c) 2007 IUPUI SPEA K300 (4392) Outline Random Variables Expected Values Data Generation Process (DGP) Uniform Probability Distribution Binomial Probability.
Probability Distributions - Discrete Random Variables Outcomes and Events.
4.1 Probability Distributions. Do you remember? Relative Frequency Histogram.
Introductory Statistics Lesson 4.1 A Objective: SSBAT distinguish between discrete random variables and continuous random variables Standards: S2.5B.
Chapter 5: The Binomial Probability Distribution and Related Topics Section 1: Introduction to Random Variables and Probability Distributions.
Discrete Random Variables. Numerical Outcomes Consider associating a numerical value with each sample point in a sample space. (1,1) (1,2) (1,3) (1,4)
Chapter 7: Random Variables “Horse sense is what keeps horses from betting on what people do.” Damon Runyon.
Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall 5-1 Business Statistics: A Decision-Making Approach 8 th Edition Chapter 5 Discrete.
4.1 Probability Distributions NOTES Coach Bridges.
4.1 Probability Distributions Important Concepts –Random Variables –Probability Distribution –Mean (or Expected Value) of a Random Variable –Variance and.
LECTURE 17 THURSDAY, 22 OCTOBER STA 291 Fall
Essential Statistics Chapter 91 Introducing Probability.
CHAPTER 10 Introducing Probability BPS - 5TH ED.CHAPTER 10 1.
Chapter 10 Introducing Probability BPS - 5th Ed. Chapter 101.
Random Variables Ch. 6. Flip a fair coin 4 times. List all the possible outcomes. Let X be the number of heads. A probability model describes the possible.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 5-1 Review and Preview.
AP STATISTICS Section 7.1 Random Variables. Objective: To be able to recognize discrete and continuous random variables and calculate probabilities using.
Business Statistics: A Decision-Making Approach, 7e © 2008 Prentice-Hall, Inc. Chap 5-1 Business Statistics: A Decision-Making Approach 7 th Edition Chapter.
Chapter 5. Continuous Random Variables. Continuous Random Variables Discrete random variables –Random variables whose set of possible values is either.
Random Variables A random variable is a rule that assigns exactly one value to each point in a sample space for an experiment. A random variable can be.
Discrete Random Variables
1 Chapter 8 Random Variables and Probability Distributions IRandom Sampling A.Population 1.Population element 2.Sampling with and without replacement.
Chapter 4 Discrete Probability Distributions 4.1 Probability Distributions I.Random Variables A random variable x represents a numerical value associated5with.
AP Statistics, Section 7.11 The Practice of Statistics Third Edition Chapter 7: Random Variables 7.1 Discete and Continuous Random Variables Copyright.
AP Stats: Warm-up Complete the 6.3 “quiz” with the person sitting next to you as your warm-up. We will be starting our intro to Chapter 7 today: Discrete.
Business Statistics, A First Course (4e) © 2006 Prentice-Hall, Inc. Chap 5-1 Chapter 5 Some Important Discrete Probability Distributions Business Statistics,
1.4 Graphs for Quantitative Data Chapter 1 (Page 17)
Copyright © 1998, Triola, Elementary Statistics Addison Wesley Longman 1 Probability Distributions Chapter 4 M A R I O F. T R I O L A Copyright © 1998,
Chap 5-1 Discrete and Continuous Probability Distributions.
Chapter 6: The Binomial Distribution and Related Topics 6.1 – Introduction to Random Variables and Probability Distributions 6.2 – Binomial Probabilities.
Copyright © Cengage Learning. All rights reserved. 3 Discrete Random Variables and Probability Distributions.
Discrete and Continuous Random Variables Section 7.1.
Chapter 1 Statistics.
Chapter 4: Discrete Random Variables
Lecture Slides Elementary Statistics Eleventh Edition
Unit 5 Section 5-2.
Discrete and Continuous Random Variables
Chapter 4: Discrete Random Variables
Discrete and Continuous Random Variables
AP Statistics: Chapter 7
Bluman, Chapter 5.
6.2/6.3 Probability Distributions and Distribution Mean
Review for test Ch. 6 ON TUESDAY:
6.1: Discrete and Continuous Random Variables
Warm Up Imagine you are rolling 2 six-sided dice. 1) What is the probability to roll a sum of 7? 2) What is the probability to roll a sum of 6 or 7? 3)
Probability Distributions (Discrete Variables)
RANDOM VARIABLES Random variable:
Chapter 3.3 Displaying Data.
Discrete Random Variables: Basics
Discrete Random Variables: Basics
Random Variables A random variable is a rule that assigns exactly one value to each point in a sample space for an experiment. A random variable can be.
Discrete Random Variables: Basics
Presentation transcript:

Chapter 4: DISCRETE RANDOM VARIABLES2 Random variable is a numerical variable whose value is subject to variations due to chance. It is a numerical output from a random experiment. Examples: 1.Number of heads in ten flips of a coin. 2.Number of rings before the phone is answered. 3.Number of hits on a particular website within next hour. 4.Compressive strength of a tested concrete cylinder. 5.Lifetime of a bulb. 6.Discharge (streamflow) of a river.

Chapter 4: DISCRETE RANDOM VARIABLES3 A discrete random variable is a variable that can assume only a finite or infinite but countable number of values.  Very often (but not necessarily) its values are natural numbers.  See examples 1-3 on previous page. A continuous random variable is a variable that can assume any value in an interval (finite or infinite)  Its values are often decimal numbers.  See examples 4-6 on previous page.  We will discuss continuous variables in the next chapter.

Chapter 4: DISCRETE RANDOM VARIABLES

Chapter 4: DISCRETE RANDOM VARIABLES5

6

7

8

9

10

Chapter 4: DISCRETE RANDOM VARIABLES ,000100,