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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.

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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).

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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

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Students’ Computer Access Internet Connection 0, 1, 2, 3, 4, 5, 6, 7 Laptop 00-59 Desktop 60-79 No Internet Connection 8, 9 Laptop 80-84 Desktop 85-89 No Computer 90-99

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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.

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

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3.6: Probabilities Through Simulations Objective: To simulate probabilities using random number tables and random number generators CHS Statistics.

3.6: Probabilities Through Simulations Objective: To simulate probabilities using random number tables and random number generators CHS Statistics.

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