PPT-Bernoulli Trials and The Binomial Distribution

Definition Bernoulli Trials are questions which involve the use of success and failure Essentially a Bernoulli trial is an experiment where there are only 2 outcomes success and failure . 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.. Probability . Distributions. Martina Litschmannová. m. artina.litschmannova. @vsb.cz. K210. A . random variable . is a function or rule that assigns a . number. to each outcome of an experiment.. . 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).. David Applegate. Cassandra Diamond. Erin Ryan. Tiffany Liang. Background. Born on February 8. th. , 1700. Groningen, Netherlands. Swiss mathematician and physicist. Leonhard Euler. Received Bachelor’s degree at 15 and Master’s degree at 16. Objectives:. By the end of this section, I will be. able to…. Explain what constitutes a binomial experiment. . Compute probabilities using the binomial probability formula.. Find probabilities using the binomial tables.. 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:. Md. Tanvir Al Amin, Lecturer, Dept. of CSE, BUET. CSE 411. Discrete Uniform Distribution. Uniform distribution inside a interval.. Say a random variable is equally likely to take value between i and j inclusive. Textbook: Sections 8.4, 8.5, 8.6. • Recognize the four conditions for a binomial random variable. • Calculate the mean and standard deviation for a binomial random variable. • Use probability notation for continuous random variables and relate this notation to area under a density function.. 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.. 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 Statistics and Data Analysis Professor William Greene Stern School of Business IOMS Department Department of Economics Statistics and Data Analysis Part 7 – Discrete Distributions: Binomial Distribution 1. Binomial Distribution 2. Additional Problems on Binomial Distribution. More Visual Representation. Binomial Distribution Tends to Normal for Large n. Binomial Distribution Tends to Normal for p Close to 0.5.