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I have contributed another application to the Application Center: "Street-fighting Math".
This interactive Maple document contains a simple street-fighting game and performs a
mathematical analysis of it, involving probability and game theory. 

My daughter the psychiatrist recently shared a link with me that mentioned a factoid about Facebook: "84 per cent of people think their friends have more friends than they do".  Actually they don't just think this: for 84 percent of Facebook users, the median friend count of their friends is higher than their own friend count, according to

I've submitted an application to the Application Center: Great Expectations.  This is an interactive Maple document, suitable for instructional use in an undergraduate course in Probability.  The mathematical content is related to the Laws of Large Numbers and Central
Limit Theorem.  It requires no knowledge of Maple to use.

I am trying to plot the cdf of a binomial random variable, which has jump discontinuities at each of the integers with positive probability mass. Typically, when plotting a piecewise function, one would prefer not to have Maple connect all the points of discontinuity with a vertical line, and discont=true achieves that. Why doesn't the following command yield the expected results:

with(Statistics):

with(plots):

X:=RandomVariable(Binomial(25,.65)):

Hi, 

I am relatively new to Maple and I am seeking an efficient way to create a probability histogram for a discrete probability distribution. For example,

x:      1     3   5    7

p(x): 1/8 1/4 1/2 1/8

I would like rectangles with height corresponding to the probabilities with bases centered at each x value, allowing for the possibility of gaps in the distribtuion.

Sorry that this may not belong here but I thought I would ask, it is interesting. 

Now I'm not asking for the winning numbers list but rather the numbers chosen by people (the thousands of non winning ticket numbers per game)  Is there a database somewhere we can access that stores the list of picked numbers?  It would be interesting to find out how randomly people pick numbers, do people flock to certain numbers more often than others?

I...

I want to do a Monte Carlo study with the following probability distribution:

P(X=x):=(x-1)*q^(x-2)*(p^2+(2*(1-p-q))*p)+binomial(x-1, x-3)*q^(x-3)*((1-p-q)^3+(1-p-q)^2*p);

with x = 2. 3, ... infinity and parameters p and q with 0 < p+q < 1. For the Monte Carlo study I ave to generate samples with specified values of p and q. For this I have yo do something similar to:

use Statistics in T:=[1/2,0,0,0,0,0,1/2];

d:=Distribution(ProbabilityTable(T));

  We have two random points A(X1,Y1,Z1) and B(X2,Y2,Z2) in the unit cube, ie X1, X2, Y1, Y2, Z1, and Z2 are collectively independent random variables uniformly distributed on the interval [0,1].
  How to find  the mean of the distance between A and B with Maple? The same question in higher dimensions.

Dear All

I need your help about one probability and stochastic problem.
Suppose that there is one file with size of s packets.
There is a Poisson process that generates the requests for this file.
Each request will lead to s consecutive requests (packet requests) with constatnt rate r.
It means that requests for file are generated by Poisson process and each file request generate s packet requests with constant rate r.(time between packet request of one file is

How can I calculate F(6/7) - F(-6/7) to find probability related to central limit theory?

I need to first use the F:=x-->y to define F. What I'm getting is not helping me answer my question. could someone please tell me the steps to find an answer? 

Suppose N numbered cars start a race with starting positions N < ... < 4 < 3 < 2 < 1, car number 1 starting in front. (the car's index is the position on the starting grid) The race covers a total of L laps.

If two successive cars are in the position i < j, the probability that i overtakes j within 1 lap is P(i,j). This probability is independent of the position on the track and is constant throughout the race. For instance, if the starting positions...