Spreading the News Simulation Experiment: In this experiment you will simulate the

Chapter 7, Problem 4

(choose chapter or problem)

Spreading the News Simulation Experiment: In this experiment you will simulate the spread of the news in 3. Number each student in your class starting at 1. Person 1 stands up and then selects two people at random to tell the news to. Do this by selecting two random integers between 1 and the number of students in your class, inclusive. (It is not actually necessary to tell any news!) The random number generator on one students calculator will help make the random selection. The two people with the chosen numbers stand. Thus after the first iteration there will probably be three students standing (unless a duplicate random number came up). Each of these (three) people selects two more people to tell the news to by selecting a total of 6 (or 4?) more random integers. Do this for a total of 10 iterations or until the entire class is standing. At each iteration, record the number of iterations and the total number of people who have heard the news. Describe the results of the experiment. Include such things as The plot of the data points. A function that fits the data, and a graph of this function on the plot. Explain why you chose the function you did. A statement of how well the logistic model fits the data. The iteration number at which the good news was spreading most rapidly.