PPT-Binomial Expansions

Reflection What is a binomial A binomial is a mathematical expression of two unlike terms with coefficients and which is raised to at least the power of 1 Examples of binomials are ab x22 ac3 y46. 1 This relation is the socalled binomial expansion It certainly is an improvement over multiplying out ababab by hand The series in eq 1 can be used for any value of n integer or not but when n is an integer the series terminates or ends after n1 te General Functions 1 nx 1 1 2 ln1 2 Trigonometric Functions sin 6 cos 2 tan csc x x 6 sec 1 2 cot x x Inverse Trigonometric Functions sin 6 cos 960 tan 3 csc x 1 6 sec 960 x cot 960 Hyperbolic Functions sinh Picture from LeeroyJenkins.com. World of . Warcraft. 2004 - Present. Developed. by Blizzard Entertainment. Platforms: PC and Mac. Genre: . MMORPG. Three Expansions: Burning Crusade, Wrath of the Lich King, Cataclysm. Probability Theorem. A binomial is a polynomial with two terms such as . x. + . a. . Often we need to raise a binomial to a power. In this section we'll explore a way to do just that without lengthy multiplication.. Introduction. You first met the Binomial Expansion in C2. In this chapter you will have a brief reminder of expanding for positive integer powers. We will also look at how to multiply out a bracket with a fractional or negative power. 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.”. Expansions,omittingtypes,andstandardsystemsFredrikEngstromMathematicalSciencesChalmersUniversityofTechnologyandGoteborgUniversityAbstractRecursivesaturationandresplendencearetwoimportantnotionsinmod 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: . 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.. 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:   Chapter 8. Warm up. Find each combination or permutation. . 5 C 2. 10 C 3. 10 P 3. 8.1 The Binomial Distribution. A . binomial experiment. . is . statistical . experiment. that has the following properties: . 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!.