Direction: For each following applet, the
density and moments of the random variable are shown in blue in the
distribution graph and are recorded in the distribution table. On each
update, the empirical density and moments are shown in red in the distribution
graph and are recorded in the distribution table. The parameter can be
varied with a scroll bar.Press "Step" button
to show each simulation.You may see a serial of simulation by choosing
the number of simulation from the "stop freq" list box(the default number
is 10) and pressing "run" button.Renew or stop the process by choosing
"reset" button or "stop" button,respectively.
The
Coin Sample Experiment----The experiment consists of tossing n coins,
each with probability of heads p. The results are recorded on each update.
You can select the number of coins n and probability p.
See also The
Dice Sample Experiment, Die
Coin Experiment and Coin
Die Experiment
The
Binomial Coin Experiment----The experiment consists of tossing n coins,
each with probability of heads p. The number of heads X and the proportion
of heads M are recorded on each update. The density and mean of the
variable are shown in blue
in the distribution graph blue and are recorded in the distribution
table. The parameters n and p can be varied with scroll bars.
Either X or M can be selected with the list box.
See also The
Dice Experiment, The
Binomial Timeline Experiment and The
Galton Board Experiment
The
Negative Binomial Experiment----The experiment consists of performing
Bernoulli trials, with probability of success p,
until the k'th success occurs. The density and moments of Y(the
number of trials) are shown in blue in the distribution graph
and are recorded in the distribution table. On each update, the empirical
density and moments of Y are shown in red in the distribution graph and
are recorded in the distribution table.
The
Problem of Points Experiment----The experiment consists of tossing
coins, each with probability of heads p, until either n heads occur or
m tails occur. The event that n heads occur before m tails is indicated
by the random variable I. The density of
I is shown in blue in the second graph and is recorded in the second
table. On each update, the empirical density of I is shown in red in the
second graph and is recorded in the second table. The parameters n, m,
and p can be varied with scroll bars.
See also The
Coupon Collector Experiment