TAKE-HOME MIDTERM EXAM
Stochastic Processes
1. a) Let the random variable N have the geometric distribution
P N n 1 p
where
0 p 1
n 1
for
p
n 1, 2, L
. Prove that for positive integers j and k,
P N j k N j P N k
(This condition says that the geometric di
Homework Set 6
Due in Class on Tuesday, 29 March 2016
Problem #1
An electrically neutral, dielectric cube having side length a has a radial electric polarization
given by P r Cr , where C is a constant. The origin of coordinates is at the center of the
cu
