PPT-Chapter 5. Continuous Probability Distributions

Section 56 Normal Distributions Jiaping Wang Department of Mathematical Science 03272013 Wednesday Outline Probability Density Function Mean and Variance More Examples Homework 9. And 57375en 57375ere Were None meets the standard for Range of Reading and Level of Text Complexity for grade 8 Its structure pacing and universal appeal make it an appropriate reading choice for reluctant readers 57375e book also o57373ers students Probability Distributions . and Data Modeling. Business Analytics: Methods, Models, . and Decisions. , 1. st. edition. James R. Evans. 5-. 1. Copyright © 2013 Pearson Education, Inc. publishing as Prentice Hall. 1. 4. Continuous Random Variables and Probability Distributions. 4-1 Continuous Random Variables. 4-2 Probability Distributions and Probability Density Functions. 4-3 Cumulative Distribution Functions. Chapter 7. Learning Objectives. LO7. -2 . Describe the characteristics of a normal probability distribution. .. LO7-3 . Describe the standard normal probability distribution and use . it . to calculate probabilities.. 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 . Continuous distributions. Sample size 24. Guess the mean and standard deviation. Dot plot sample size 49. Draw the population distribution you expect. Sample size 93. Sample size 476. Sample size 948. 1. Normal Distribution. Log Normal Distribution. Gamma Distribution. Chi Square Distribution. F Distribution. t Distribution. Weibull Distribution. Extreme Value Distribution (Type I and II. ). Exponential. Random Variables. Definition:. A rule that assigns one (and only one) numerical value to each simple event of an experiment; or. A function that assigns numerical values to the possible outcomes of an experiment.. 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 . John Hancock Financial Services. What Is An Actuary?. “Actuaries are highly sought-after professionals who develop and communicate solutions for complex financial issues.”. What Do Actuaries Do?. Random Variables. Definition:. A rule that assigns one (and only one) numerical value to each simple event of an experiment; or. A function that assigns numerical values to the possible outcomes of an experiment.. Continuous Probability Distribution . (pdf) . Definition:. . b. P(a . . X.  . b) = .  . f(x). dx. . . a. For continuous RV X & a. .  b.. II. BINOMIAL DISTRIBUTIONS A. Binomial Experiments 1. A binomial experiment is a probability experiment that satisfies the following conditions: a. The experiment is repeated for a fixed number of independent trials. 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 .