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 . 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. 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.. AS91586 Apply probability distributions in solving problems. NZC level 8. Investigate situations that involve elements of chance. calculating and interpreting expected values and standard deviations of discrete 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 . 1. 3. Discrete Random Variables and Probability Distributions. 3-1 Discrete Random Variables. 3-2 Probability Distributions and Probability Mass Functions. 3-3 Cumulative Distribution Functions. 3-4 Mean and Variance of a Discrete Random Variable. 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: . 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.. AP Statistics B. Overview of Chapter 17. Two new models: Geometric model, and the Binomial model. Yes, the binomial model involves Pascal’s triangles that (I hope) you learned about in Algebra 2. Use the geometric model whenever you want to find how many events you have to have before a “success”. 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" 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!.