Whats the mean? Suppose that you roll three balanced dice. We wonder whatthe mean number

Chapter 0, Problem 11.30

(choose chapter or problem)

Whats the mean? Suppose that you roll three balanced dice. We wonder whatthe mean number of spots on the up-faces of the three dice is. The law of largenumbers says that we can find out by experience: roll three dice many times, andthe average number of spots will eventually approach the true mean. Set up theLaw of Large Numbers applet to roll three dice. Dont click Show mean yet. Rollthe dice until you are confident you know the mean quite closely, then clickShow mean to verify your discovery. What is the mean? Make a rough sketch ofthe path the averages x followed as you kept adding more rolls.