PPT-The Binomial and Geometric Distributions

Chapter 8 Warm up Find each combination or permutation 5 C 2 10 C 3 10 P 3 81 The Binomial Distribution A binomial experiment is statistical experiment that has the following properties . 2/29/2012. Review. When playing roulette at the Bellagio casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 13 or to bet $5 that the outcome is any one of these five possibilities: 0 or 00 or 1 or 2 or 3. From Example 8, we know that the expected value of the $5 bet for a single number is -26₵. For the $5 bet that the outcome is 0 or 00 or 1 or 2 or 3, there is a probability of 5/38 of making a net profit of $30 and a 33/38 probability of losing $5.. 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 . 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.”. Chapter 17: . probability models. Unit 4. The basis for the probability models we will examine in this chapter is the . Bernoulli . (. Ber. -. Noo. -Lee) . trial.. We have Bernoulli trials if:. there are two possible outcomes (success and failure).. 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 . 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. . 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: . Chapter 17. Probability Models . Bernoulli Trials. The basis for the probability models we will examine in this chapter is the . Bernoulli . (. Ber. -. Noo. -Lee) . trial. .. We . have Bernoulli trials if:. 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. B i nom i al & G eometr i c R andom V ar i ables Section 6.3 Reference Text: The Practice of Statistics , Fourth Edition. Starnes, Yates, Moore Objectives Binomial Random Variables and Binomial Distribution 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" The Geometric and Poisson Distributions Geometric Distribution – A geometric distribution shows the number of trials needed until a success is achieved. Example: When shooting baskets, what is the probability that the first time you make the basket will be the fourth time you shoot the ball? 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!.