The document outlines a bonus assignment in probability and random processes for engineering mathematics students at Alexandria University. It requires the preparation of a 5-minute talk covering the Poisson-binomial distribution, including its probability mass function (pmf), Matlab code for its computation, and its application in reliability theory. The talk is expected to consist of three main points: the definition of Poisson-binomial pmf, its exact computation, and simulation-based approximation.

1. Probability and Random
Processes
Assignment (2)
(Bonus assignment)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
sherif.rabia@gmail.com
sherif.rabia@alexu.edu.eg

2. Math 9 - 2014/2015 (second term(2
Required
Prepare a 5-min talk about
Poisson-binomial distribution
Computation, simulation and applications

3. Math 9 - 2014/2015 (second term(3
Main points
Your talk should include
• What’s a Poisson-binomial PMF?
• MATLAB code for generating its PMF
and CDF exactly.
• Approximating PMF using simulation.
• Solving a specific problem in
reliability theory using this PMF.