# Binomial distribution

63 %
38 %
Education

Published on October 7, 2008

Source: authorstream.com

Binomial : Binomial headlessprofessor When to use? : When to use? Variable is measured on a binary nominal scale When to use? : When to use? Variable is measured on a binary nominal scale Success / Failure When to use? : When to use? Variable is measured on a binary nominal scale Success / Failure Number of successes X When to use? : When to use? Variable is measured on a binary nominal scale N identical trials When to use? : When to use? Variable is measured on a binary nominal scale N identical trials The total number of successes is a discrete ratio scale When to use? : When to use? Variable is measured on a binary nominal scale N identical trials Trials are independent When to use? : When to use? Variable is measured on a binary nominal scale N identical trials Trials are independent Probability p of success the same for each trial What we need to use the table : What we need to use the table N = number of trials (cases) X = number of successes P = probability of a success in each trial The binomial charts : The binomial charts A different chart for each N for N =2 through N = 20 The binomial charts : The binomial charts A different chart for each N Each row represents an X The binomial charts : The binomial charts A different chart for each N Each row represents an X Each column represents a P Example : Example The probability of a sales rep making a sale on a given day is p = .10. Example : Example The probability of a sales rep making a sale on a given day is p = .10. There are two sales reps, N = 2. Example : Example The probability of a sales rep making a sale on a given day is p = .10. There are two sales reps, N = 2. What is the probability that neither will make a sale? X = 0 Answer : Answer The probability of having zero successes from these two cases is .81. Example : Example The probability of a sales rep making a sale on a given day is p = .10. There are two sales reps, N = 2. What is the probability that at least one sale will be made? X > 0 Answer : Answer The probability of one success is .18 and two successes is .01 for a total of .19. Answer : Answer Or subtract the probability of zero successes from 1.00. 1.00 - .81 = .19 Example : Example The probability of a sales rep making a sale on a given day is p = .90. There are two sales reps, N = 2. What is the probability that neither will make a sale? X = 0 Answer : Answer The probability of having zero successes from these two cases is .01. By the way : By the way Many other statistical tests are derived from the binomial distribution By the way : By the way Many other statistical tests are derived from the binomial distribution The sign test for repeated measures By the way : By the way Many other statistical tests are derived from the binomial distribution The sign test for repeated measures The median test for sample vs. norms What does it prove? : What does it prove? If you get an extremely low probability, that merely means that your observed results are unlikely to conform to the frequencies expected by the binomial distribution. Alternatives : Alternatives If the sample size is larger than 20, consider using a test of proportions Z Alternatives : Alternatives If the sample size is larger than 20, consider using a test of proportions Z Chi square Alternatives : Alternatives If the sample size is larger than 20, consider using a test of proportions Z Chi square Kolmogorov-Smirnov Binomial : Binomial headlessprofessor

 User name: Comment:

August 11, 2017

August 11, 2017

August 3, 2017

August 19, 2017

August 19, 2017

August 19, 2017

## Related pages

### Binomial distribution - Wikipedia, the free encyclopedia

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes ...

### Binomial Distribution -- from Wolfram MathWorld

Binomial Distribution. The binomial distribution gives the discrete probability distribution of obtaining exactly successes out of Bernoulli trials (where ...

### Binomial Distribution - Statistics and Probability

Introduction to binomial probability distribution, binomial nomenclature, and binomial experiments. Includes binomial distribution examples with solutions.

### The Binomial Distribution - Welcome | Department of Statistics

The Binomial Distribution In many cases, it is appropriate to summarize a group of independent observations by the number of observations in the group that ...

### The Binomial Distribution - Math is Fun - Maths Resources

Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

### Binomial Distribution - Free Statistics Book

Binomial Distribution. Author(s) David M. Lane. Prerequisites. Distributions, Basic Probability, Variability Learning Objectives. Define binomial ...

### Binomial distribution | Binomial distribution | Khan Academy

Free throw binomial probability distribution; Graphing basketball binomial distribution; Expected value of binomial distribution; Next section: Poisson process

### Negative binomial distribution - Wikipedia, the free ...

In probability theory and statistics, the negative binomial distribution is a discrete probability distribution of the number of successes in a sequence of ...