The Binomial Distribution

1. The Binomial Distribution Math 153 – Introduction to Statistical Methods

2. Objectives • Determine if a scenario fits the definition of a binomial distribution. • Analyze raw data collected from the Internet • Create both the computer package Statdisk and the binompdf command on your TI to create the table. • Determine the mean and standard deviation of a binomial distribution.

3. 4 Conditions for a Binomial Experiment • Fixed number of trials • Each trial is independent of any other trial • The probability remains constant throughout the experiment • There are exactly two possible outcomes

4. Creating a Probability Table • Set up your two columns, x and P(x). • Identify the values of n, p, q and x. • use the formula below for each value of x

5. Determining Binomial Probabilities Using your TI • Select 2nd DISTR (above the VARS key) • Select option 0, binompdf( • Enter the values of n, p, x). • Note the values entered must be in this order, separated by commas. • Select the ENTER key. • If you need further assistance, please go to the TI Tutorial.

6. Using Statdisk to create Binomial Distribution Table • From the menu bar, select ANALYSIS >> BINOMIAL PROBABILITIES. • Fill in the number of trials and the probability of success in the corresponding boxes. • Hit the EVALUATE button. • If you need further assistance, go to your Statdisk tutorial.

7. Determining the Mean and Standard Deviation Using a Calculator • On the TI, use the formula

8. Determining the Mean and Standard Deviation Using Statdisk • The mean, variance and standard deviation are all given on the same screen as the probability distribution table.

9. Homework • Your next web assignment can be found at the Webquest link. Complete all questions using Microsoft Word, your TI and Statdisk. Email me your completed project.