Summary: ISyE 3232 Exam # 2
Fall 2006
Name
Please be neat and show all your work so that I can give you partial credit.
GOOD LUCK.
Question 1
Question 2
Question 3
Question 4
Total
1
(20) 1. Let Xn be the sum of the first n outcomes of tossing a six-sided die
repeatedly in an independent fashion. Compute
lim
n
P{Xn is divisible by 7}.
(Hint: Let Yn = Xn( mod 7). Is {Yn : n 0} a Markov chain?)
2
(30) 2. A production facility has two machines. Each machine produces one
item each hour. The probability that machine 1 produces a non-defective item

Source: Ayhan, Hayriye - School of Industrial and Systems Engineering, Georgia Institute of Technology

Collections: Engineering