PPT-Chapter 5 Joint Probability Distributions

Applied Statistics and Probability for Engineers Sixth Edition Douglas C Montgomery George C Runger Chapter 5 Title and Outline 2 5 Joint Probability Distributions 51 Two or More Random Variables. Objective. : . To solve multistep probability tasks with the concept of geometric distributions. CHS Statistics. A . Geometric probability model. . tells us the probability for a random variable that counts the number of . QSCI 381 – Lecture 12. (Larson and Farber, Sect 4.1). Learning objectives. Become comfortable with variable definitions. Create and use probability distributions. Random Variables-I. A . A Brief Introduction. Random Variables. Random Variable (RV): A numeric outcome that results from an experiment. For each element of an experiment’s sample space, the random variable can take on exactly one value. Sections 4.7, 4.8: Poisson and . Hypergeometric. Distributions. Jiaping. Wang. Department of Mathematical Science . 03/04/2013, Monday. Outline. Poisson: Probability Function. . Poisson: Mean and Variance. Section 08. Joint distribution of X and Y. defined over a two-dimensional region. Discrete:. Continuous:. X and Y may be independent or dependent.  . CDF of a joint distribution. Discrete:. Continuous:. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . Probability Terminology. Classical Interpretation. : Notion of probability based on equal likelihood of individual possibilities (coin toss has 1/2 chance of Heads, card draw has 4/52 chance of an Ace). Origins in games of chance.. 4. Introduction. (slide 1 of 3). A key . aspect of solving real business problems is dealing appropriately with uncertainty.. This involves recognizing explicitly that uncertainty exists and using quantitative methods to model uncertainty.. © 2017 W.H. Freeman and Company. 1.1-1. When ordering vinyl replacement windows, the following variables are specified for each window. Which of these variables is . quantitative. ?. a. window style: double hung, casement, or awning. Continuous Probability Distribution . (pdf) . Definition:. . b. P(a . . X.  . b) = .  . f(x). dx. . . a. For continuous RV X & a. .  b.. Copyright © Cengage Learning. All rights reserved. 5 Joint Probability Distributions and Random Samples Copyright © Cengage Learning. All rights reserved. 5.4 The Distribution of the Sample Mean . 3.1 - Random Variables. 3.2 - Probability Distributions for Discrete. Random Variables . 3.3 - Expected Values. 3.4 - . The Binomial Probability Distribution. 3.5 - Hypergeometric and Negative. John . Rundle . Econophysics. PHYS 255. Probability Distributions. Q: Why should we care about probability distributions? Why not just focus on the data?. A: Outliers. We want to know how probable are the outliers of large market moves, so we can control our exposure and risk. http://www.alexfb.com/cgi-bin/twiki/view/PtPhysics/WebHome. Probability for two continuous . r.v. .. http://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx. Example 1 (class). A man invites his fiancée to a fine hotel for a Sunday brunch. They decide to meet in the lobby of the hotel between 11:30 am and 12 noon. If they arrive a random times during this period, what is the probability that they will meet within 10 minutes? (Hint: do this geometrically).