Tutorial and exam problems
Teachers and students of applied probability might find a few useful and interesting problems in these downloaded postscript files. I have stripped out the majority of truly basic problems (of the type found in most text-books). A few of these remain, but most are problems which are more challenging and/or more 'modelling' oriented.
Most of these problems are my own invention, but naturally I have adopted nice problems seen in the work of others. Where I can remember the source, I state it.
Problems for a 1st
course in probability and random variables.
The basic course might follow a book like Ross' "First course
in Probability", dealing with counting, simple probability,
random variables with (a bit of) statistical estimation thrown
in.
Problems for a 2nd
course in probability and random variables.
The usual topics: random walks, generating functions, random sums,
branching processes, Markov chains.
Some advanced topics
in Applied Probability
Perhaps an esoteric choice, but following my interests: point
processes, random geometry, Markov processes.