1 / 9

Section 8.1: Simulation

Section 8.1: Simulation. What is a Simulation?. A simulation is a term which describes using a table of random digits, calculator, or computer software to imitate chance behavior. The 3 steps in a simulation are… 1. Give a probability model. 2. Assign digits to represent outcomes.

jemma
Télécharger la présentation

Section 8.1: Simulation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 8.1: Simulation

  2. What is a Simulation? • A simulation is a term which describes using a table of random digits, calculator, or computer software to imitate chance behavior. • The 3 steps in a simulation are… • 1. Give a probability model. • 2. Assign digits to represent outcomes. • 3. Simulate many repetitions.

  3. Is it random???

  4. The 3 Steps • Give a probability model. • List all the possible values (yes/no, heads/tails, etc.). • Assign digits to represent outcomes. • For example, if 70% said “yes”, 30% said “no”, you can assign 0-6 for “yes”, 7-9 for “no”. • For example, if 45% said “A”, 25% said “B”, and 30% said “C”, you can assign 00-44 for “A”, 45-69 for “B”, and 70-99 for “C”. • Simulate many repetitions. • Use the table of random digits or the randint function on the calculator or computer to simulate repetitions. • The repetitions must consist of independent trials (each trial cannot have an effect on any other trial).

  5. Tree Diagram of a Probability Model • It is predicted that 80% of all students have Internet access at home. A simulation can be performed to confirm this statement. • What numbers can be assigned to represent those with Internet access and those without? • 0-7, 8-9 if one digit; 00-79, 80-99 if two digit

  6. Tree Diagram of a Probability Model

  7. Tree Diagram of a Probability Model • Using a calculator’s randint function or a table of random digits, you can perform several simulations to see if your statement is correct. • Make sure that you start over each time (don’t use the same line in the table, for example) when you conduct a simulation, as each simulation must be independent. • Remember, simulations are only estimates.

  8. What to remember: Simulations are only estimated probabilities.

  9. Homework • Pages 452-453, #8.1, 8.2, 8.3 • Pages 459-460, #8.10 • Page 462, #8.11, 8.12

More Related