This document discusses using computer simulations to model random processes. It explains that a calculator can generate random integers within a specified range using the randInt function under the MATH and PRB menus. As an example, it presents a state lottery game where 3 in 50 entries win $10 for a $1 bet and suggests using the randInt function to simulate the results of 100 bets to calculate the expected value for the state.

1. Computer Simulations Warm-up Solve for x : 1. 2.

2. Computer Simulations A computer can be used to generate a list of random numbers, which can be used to run a simulation. In your calculator, the random integer function is located in MATH->PRB->randInt(. In the parentheses, you need to tell the calculator the range of integers to choose from. This is done by placing a comma between the highest and lowest integers. Optionally, you can add a third number, which will tell the calculator how many random integers to produce.

3. A state lottery has a game in which a winner receives $10 for a $1 entry, but only 3 in 50 entries win. What is the expected value of this game for the state? Use your calculator to simulate the results of 100 bets.