#  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.

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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.

 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).

 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

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

 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.

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

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