Chapter 5 - Assignment 2

With this assignment we will work with Binomial and Poisson Distributions. You should review the rules for each and when each is used. You can use the formulas or templates provided to produce the tables. You can use the tables in your text or other material provided

The Binomial Distribution (The Binomial Model)

A binomial experiment has the following characteristics:

1. The experiment consists of n identical trials.
2. Each trial results in a success or a failure.
3. The probability of a success on any trial is p and remains constant from trial to trial. This implies that the probability of failure, q, on any trial is 1 ? p and remains constant from trial to trial.
4. The trials are independent (that is, the results of the trials have nothing to do with each other).

Furthermore, if we define the random variable

x = the total number of successes in n trials of a binomial experiment

then we call x a binomial random variable, and the probability of obtaining x successes in n trials is