PPT-6.2 Binomial Probability Distribution

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. 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.. 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 distribution is the probability distribution for a binomial experiment. Helps find probabilities when there are a large number of trials. Characteristics. Each trial has two outcomes or can be reduced to two outcomes.. 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.. 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. 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.. http://www.answers.com/topic/binomial-distribution. Chapter 13: Bernoulli Random Variables. http://www.boost.org/doc/libs/1_42_0/libs/math/doc/sf_and_dist/html. /. math_toolkit. /. dist. /. dist_ref. 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 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 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: . Dr. Gavisiddappa . Gadag. Introduction:. . In case of population the values of variables are distributed according to some definite probability law which can be expressed mathematically and the corresponding probability distribution is known as...