ECE331 HOMEWORK 4

(0)[reading corresponding with the lectures] 
Read Yates chapter 3.1-3.7


(1) Yates 2.8.6

(2) Yates 2.8.7

(3) Yates 2.8.8

(4) Yates 2.9.1

(5) Yates 2.9.6

(6) Yates 3.1.1 and 3.2.1 and 3.4.1

(7) Yates 3.3.4

(8) Yates 3.7.3

(9) Yates 3.7.7

(10) Suppose that X and Y are uniform random variables 
on {0,1,2} and that X and Y are independent.
(Note that P[X=0]=P[X=1]=P[X=2]=P[Y=0]=P[Y=1]=P[Y=2]=1/3)
Let Z=X+Y.   Compute the pmf of Z.
If you can, write down the overall relationship between
Px(x), Py(y) and Pz(z).

(11) Write computer code in any language or package
to evaluate the binomial and Poison distribution pmfs
for general parameters.
Experiment with the parameters to get a feel for 
the possible shapes of these distributions.
Use your code to demonstrate graphically or numerically
the approximation of the binomial distribution
by the Poisson distribution for suitably chosen parameters.
Document this last part of the question to hand in.