Description and Use
The experiment consists of
tossing n fair coins. The position of the random walk
after j tosses is the number of heads minus the number of tails. The
random variables of interest are
* Y-- The final position
* M-- The maximum position
* L-- The time of the last zero
The random walk is shown in red in the left graph on each update. The maximum
and minimum values are shown as red dots on the right vertical axis; the last
zero is shown as a red dot on the horizontal axis. The value of each of the
three random variables is recorded in the data table on each update. Any of the
three variables can be selected from the list box. The
probability density function
and moments of
the selected variable are shown in blue in the distribution graph and are recorded in
the distribution table. On each update, the
empirical density function
and moments are shown
in red in the distribution graph and are recorded in the distribution table. The number of steps
n can be varied with the scroll bar.