6: Width of a Distribution
of watching one walker at a time, let's watch many walkers at the
same time. Bring up the ManyWalkers program. See Java Applet Page. In this program
you choose the number of walkers displayed, from one walker to 250
walkers. When you press the Step button, each of these walkers
takes a step randomly, either to the right or to the left. The number
of walkers in each position (left or right of the origin) is shown
in the bar graph at the bottom of the screen.
Q3.27: Try the display for different numbers of walkers.
How do the results for 40 walkers differ from the results
for 250 walkers? for 1 walker?
Q3.28: Do more walkers result in a wider spread ,
for the same number of steps? Do more walkers result in
a smoother graph? Guess: How many walkers
do you think it would take to yield a perfectly smooth
Q3.29: How does the width of the spread change as the
number of steps changes? Is the width after 12 steps three
times the width after 4 steps?
SimuLab 5 - Random Walk and Pascal's Triangle