PPT-Probability & Statistics

2301520 Fundamentals of AMCS ความแนนอนคอความไมแนนอน ทฤษฎความนาจะเปน เปนการนำคณตศาสตรมาใชในการอธบายความไมแนนอน. Mat 271E. Yard. Doç. Dr. Tarkan Erdik. Probability Distributions. Uniform and Normal Distributions- Week 7. 1. Probability Distributions. 2. It has been observed that . certain functions . F(x). and . October 14, 2009. Subjective Probability. Throughout the course I have used the word probability.. Yet I have not defined it. Instead I have relied on the assumption that you all have a sense of probability.. 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.. 3.1 . The Concept of Probability. 3.2 . Sample Spaces and Events. 3.3 . Some Elementary Probability Rules. 3.4 . Conditional Probability and Independence. 3.5 . Bayes’ Theorem. 3-. 2. Probability Concepts. Starnes, Tabor, Yates, Moore . Bedford Freeman Worth Publishers. CHAPTER 5. Probability: What Are . the Chances?. 5.1. Randomness, Probability, . and Simulation. Learning Objectives. After this section, you should be able to:. What we learned last class…. We are not good at recognizing/dealing with randomness. Our “random” coin flip results weren’t streaky enough.. If B/G results behave like independent coin flips, we know how many families to EXPECT with 0,1,2,3,4 girls.. Probability is used all of the time in real life. Gambling . Sports. Weather. Insurance. Medical Decisions. Standardized Tests. And others. Definition of Probability. “The . likelihood of something . Conditional Probability. Conditional Probability: . A probability where a certain prerequisite condition has already been met.. Conditional Probability Notation. The probability of Event A, given that Event B has already occurred, is expressed as P(A | B).. Slide . 2. Probability - Terminology. Events are the . number. of possible outcome of a phenomenon such as the roll of a die or a fillip of a coin.. “trials” are a coin flip or die roll. Slide . Starnes, Tabor, Yates, Moore . Bedford Freeman Worth Publishers. CHAPTER 5. Probability: What Are . the Chances?. 5.1. Randomness, Probability, . and Simulation. Learning Objectives. After this section, you should be able to:. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . Probability and Probability Distribution Dr Manoj Kumar Bhambu GCCBA-42, Chandigarh M- +91-988-823-7733 mkbhambu@hotmail.com Probability and Probability Distribution: Definitions- Probability Rules –Application of Probability In this class we will review . how statistics are used to . summarize data, special probability distributions, . their . use in simple applications using Frequentist and Bayesian . methods, and Monte Carlo techniques.