Reference no: EM13178167
Simulations are used to model a variety of systems in order to acquire insights regarding the system under study. In this task you will demonstrate how to use mathematics to model a selected system in order to make informed decisions. Instead of using a mathematical rule to compute a desired result, you will use a computer-based simulation model to make informed decisions.
Task:
A. Design and describe a computer-based simulation model that you will use to estimate the probability that among 25, 50, 75, 100, 500, or 1000 randomly selected people, at least 2 people share the same birthday.
1. Describe specifically how you will use the technology to create the computer-based simulation model.
2. Run the simulation using sufficient iterations for 25, 50, 75, 100, 500, and 1000 randomly selected people.
Note: The iterations you use should allow you to collect the data necessary to make reasonable estimates of the probability for each group size.
B. Analyze (suggested length of 1-2 paragraphs) the computer-based simulation results.
1. Use the attached "Probability Table" to find the probability that at least 2 people share the same birthday among 25, 50, 75, 100, 500, and 1,000 randomly selected people. (Include the probability table with your results.)
2. Discuss factors that contribute to uncertainty in the probability results that were obtained.
3. Draw conclusions involving the uncertainty from the results of the simulation.