PPT-The Binomial Distribution

Karl L Wuensch Department of Psychology East Carolina University A Binomial Experiment consists of n identical trials each trial results in one of two outcomes a success or a failure. Definition of Binomial coefficient. For nonnegative integers n and r with n . >. r the expansion (read “n above r”) is called a binomial coefficient and is defined by. Evaluating binomial coefficient . Zhang . Zhuozhuo. . Calum. Johnson . Waldemar. . Pietraszkiewicz. . The binomial model is a very useful and popular technique for pricing an option.. The binomial option pricing formula is based on assumption that the stock price follows a multiplicative binomial process over discrete intervals. . T.Jagannadha. . Swamy. Dept of . ECE,Griet. Random Variable. A random variable . x. takes on a defined set of values with different probabilities.. For example, if you roll a die, the outcome is random (not fixed) and there are 6 possible outcomes, each of which occur with probability one-sixth. . Using StatCrunch : Video : http://www.youtube.com/watch?v=7yEyVh5uH5Y The Binomial distribution applies when an event has two outcomes , success or failure, and is rep eated a certain number of t for Modelling Over- and Underdispersed. Binomial Frequencies. Feirer V.. , Hirn U., Friedl H., Bauer W.. Institute for Paper, Pulp and Fiber Technology. & Institute for Statistics. Graz University of Technology. Distribution. If the probability that James is late home from work on any. day is 0.4, what is the probability that he is late home. t. hree times in a five-day working week?. L . L. . L. . L. ’ L’. Binomial distributions. are models for some categorical variables, typically representing the . number of successes. in a series of . n. independent trials. . The observations must meet these requirements: . Background. Historically. , the Binomial Distribution evaluation has been subject to approximation due to the laborious math involved. When the product np is less than five, a Poisson approximation is used. When np is equal or greater than five a normal approximation is used.. Delta On-Time Performance at Hartsfield-Jackson Atlanta International (June, 2003 - June, 2015). http://www.transtats.bts.gov/OT_Delay/ot_delaycause1.asp?display=data&pn=1. Data / Model. Total Operations: 2,278,897. 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. Binomial Theorem Keeper 10 Honor’s Algebra II What Is a Factorial? Evaluate the Factorial   Evaluate the Factorial   Evaluate:   Evaluate the Factorial   Evaluate:   Evaluate:   Evaluate:   Binomial v. Geometric The primary difference between a binomial random variable and a geometric random variable is what you are counting. A binomial random variable counts the number of "successes" 6.3: Binomial and Geometric Random Variables After this section, you should be able to… DETERMINE whether the conditions for a binomial setting are met COMPUTE and INTERPRET probabilities involving binomial random variables Sit with your group and choose a team name. Preferably something corny that has to do with statistics . Today’s game will test your strength, wit, knowledge, and endurance! Remember… HW Passes are at stake folks! May the force be with you!.