Objective: I will develop the different parts of a simulation to determine how to get data to answer questions.
Explain the different components of a simulation.
Use the videos below and/or Chapter 11 in your book to create notes that address the following...
• Why do we want randomness?
• Provide at least 4 different ways to generate random outcomes.
• Why can we use pseudorandom numbers?
• How do we use a random number table?
• How do we use a calculator to generate random integers?
• Define Simulation, Component, Outcome, Trial, Response Variable.
• What are the 7 steps for a simulation?
Video 1: Why be Random?
Video 2: Making a Simulation.
Practice Problems
1. Is a coin flip random? Why or why not, in your opinion?
2. A casino claims that its electronic “video roulette” machine is truly random. What should that claim mean?
3. Explain why each of the following simulations fails to model the real situation properly.
Use random numbers 2 through 12 to represent the sum of the faces when two dice are rolled.
Use a random integer from 0 through 5 to represent the number of boys in a family of 5 children.
Simulate a baseball player’s performance at bat by letting 0 = an out, 1 = a single, 2 = a double, 3 = a triple, and 4 a home run.
4. A Statistics student properly simulated the length of checkout lines in a grocery store and then reported, “The average length of the line will be 3.2 people.” What’s wrong with this conclusion?
5. You take a quiz with 6 multiple choice questions. After you studied, you estimated that you would have about an 80% chance of getting any individual question right. What are your chances of getting them all right? Your simulation should use at least 20 runs.
Taking it a deeper level for the physics and math lover