MATH 2940
HOMEWORK 1
Due January 18
Provide numerical evidence supporting this result (generate samples of
random variables X1, X 2 ,., X n , compute the sample mean X n and variance
sn , show that they diverge as n increases).
MATH 2940: Final Exam
Due by midnight on Friday, April 26
1.
a
a
a
0
0
1 a
The transition matrix for an infinite state DTMC is P
0 1 a 0
(a) Show that the DTMC is irreducible and aperiodic.
0 a 1
( 2)
( 2)
(b) Show that the first two rows of P 2