ISYE 6644 FINAL EXAM QUESTIONS
2025/2026 WITH CORRECT DETAILED
ANSWERS || ALREADY GRADED A+
1. TRUE or FALSE? It's possible to estimate two MLEs simultaneously, e.g.,
for the N o r ( μ, σ 2 ) distribution. - ANSWER TRUE (it's possible based
on taking the partial derivatives of the likelihood function with respect to
each parameter).
2. TRUE or FALSE? Sometimes it might be difficult to obtain an MLE in
closed form. - ANSWER TRUE. (Think of the gamma example that we
did.)
3. (10.8) TRUE or FALSE? The control variates technique provides unbiased,
low-variance estimates using a method reminiscent of regression. -
ANSWER True
4. (10.9) Statistical ranking and selection techniques have been designed to
address a variety of comparison problems. Which ones from the following
list? (a) Find the population having the largest mean.
(b) Find the system with the smallest variance.
, (c) Find the alternative with the highest success probability.
(d) Find the most-popular candidate. - ANSWER All of them
5. (10.12) TRUE or FALSE? Sometimes a single-stage procedure like
Bechhofer's is inefficient. In fact, it's possible to use certain sequential
procedures that take observations one-at-a-time (instead of all at once in a
single stage) to make good selection decisions using fewer observations. -
ANSWER True
6. (10.16) Suppose that we want to know which of Coke, Pepsi, and Dr. Pepper
is the most popular. We would like to make the correct selection with
probability of at least P⋆=0.90 in the event that the ratio of the highest-to-
second-highest preference probabilities happens to be at least θ⋆=1.4. How
many people does the single-stage procedure M{BEM} require us to
interview? - ANSWER From table, find P* = 0.9, Theta* = 1.4 and k = 3
competitors
7. (Lesson 9.1: Introduction to Output Analysis.) Which of the following
problems might best be characterized by a finite-horizon simulation?
a. Simulating long-term hurricane patterns
b. Simulating a manufacturing cell 24/7/365
c. Simulating the operations of a bank from 9:00 a.m. until 5:00 p.m.
d. Simulating the steady-state distribution of a Markov chain -
ANSWER c. Simulating the operations of a bank from 9:00 a.m.
until 5:00 p.m.
8. (Lesson 9.1: Introduction to Output Analysis.) Let's run a simulation whose
output is a sequence of daily inventory levels for a particular product. Which
of the following statements is true?
a. The consecutive daily inventory levels are independent.
, b. The consecutive daily inventory levels are uncorrelated.
c. The consecutive daily inventory levels are normally distributed.
9. True or False? You can pre-assign a service time as an attribute before you
actually get to the server that you'll be using - ANSWER True
10.True or False? If you have Create module generating one-at-a-time customer
arrivals, then it is not possible to use a different Create module with 4-at-a-
time customer arrivals. - ANSWER False
11.True or False? Fake customers can be used to schedule machine
breakdowns, keep track of which time period the simulation is currently in,
and carry out other duties not associated with actual customers. -
ANSWER True
12.Which module/spreadsheet is NOT in the Advanced Process panel? -
ANSWER Process Model
- The process model is in the Basic Process panel.
Advanced Process Panel
-Seize module
-Delay module
-Release module
-Expression spreadsheets
-Failure spreadsheets
, 13.Why are things like Seize, Delay, and Release in multiple templates? -
ANSWER The process module does not allow us to use Seize, Delay, and
Release with sufficient generality.
14.True or False? You can schedule failures to occur after a random number of
customers have used a resource or after a random amount of time has
passed. - ANSWER True
15.True or False? You are only allowed to schedule one type of failure for a
particular resource. - ANSWER False
16.Which block is NOT in the Blocks template? - ANSWER Process Block
- No such thing, but the Process module is in the Basic Process
panel
17.Blocks template:
- Seize block
- Delay block
- Release block
- Alter block
- Queue block
18.True or False? The Queue block can connect up to the Seize module from
the Advanced Process template. - ANSWER False
19.Which kinds of sets are allowed? - ANSWER - Resource set
- Counter set
- Entity type set
2025/2026 WITH CORRECT DETAILED
ANSWERS || ALREADY GRADED A+
1. TRUE or FALSE? It's possible to estimate two MLEs simultaneously, e.g.,
for the N o r ( μ, σ 2 ) distribution. - ANSWER TRUE (it's possible based
on taking the partial derivatives of the likelihood function with respect to
each parameter).
2. TRUE or FALSE? Sometimes it might be difficult to obtain an MLE in
closed form. - ANSWER TRUE. (Think of the gamma example that we
did.)
3. (10.8) TRUE or FALSE? The control variates technique provides unbiased,
low-variance estimates using a method reminiscent of regression. -
ANSWER True
4. (10.9) Statistical ranking and selection techniques have been designed to
address a variety of comparison problems. Which ones from the following
list? (a) Find the population having the largest mean.
(b) Find the system with the smallest variance.
, (c) Find the alternative with the highest success probability.
(d) Find the most-popular candidate. - ANSWER All of them
5. (10.12) TRUE or FALSE? Sometimes a single-stage procedure like
Bechhofer's is inefficient. In fact, it's possible to use certain sequential
procedures that take observations one-at-a-time (instead of all at once in a
single stage) to make good selection decisions using fewer observations. -
ANSWER True
6. (10.16) Suppose that we want to know which of Coke, Pepsi, and Dr. Pepper
is the most popular. We would like to make the correct selection with
probability of at least P⋆=0.90 in the event that the ratio of the highest-to-
second-highest preference probabilities happens to be at least θ⋆=1.4. How
many people does the single-stage procedure M{BEM} require us to
interview? - ANSWER From table, find P* = 0.9, Theta* = 1.4 and k = 3
competitors
7. (Lesson 9.1: Introduction to Output Analysis.) Which of the following
problems might best be characterized by a finite-horizon simulation?
a. Simulating long-term hurricane patterns
b. Simulating a manufacturing cell 24/7/365
c. Simulating the operations of a bank from 9:00 a.m. until 5:00 p.m.
d. Simulating the steady-state distribution of a Markov chain -
ANSWER c. Simulating the operations of a bank from 9:00 a.m.
until 5:00 p.m.
8. (Lesson 9.1: Introduction to Output Analysis.) Let's run a simulation whose
output is a sequence of daily inventory levels for a particular product. Which
of the following statements is true?
a. The consecutive daily inventory levels are independent.
, b. The consecutive daily inventory levels are uncorrelated.
c. The consecutive daily inventory levels are normally distributed.
9. True or False? You can pre-assign a service time as an attribute before you
actually get to the server that you'll be using - ANSWER True
10.True or False? If you have Create module generating one-at-a-time customer
arrivals, then it is not possible to use a different Create module with 4-at-a-
time customer arrivals. - ANSWER False
11.True or False? Fake customers can be used to schedule machine
breakdowns, keep track of which time period the simulation is currently in,
and carry out other duties not associated with actual customers. -
ANSWER True
12.Which module/spreadsheet is NOT in the Advanced Process panel? -
ANSWER Process Model
- The process model is in the Basic Process panel.
Advanced Process Panel
-Seize module
-Delay module
-Release module
-Expression spreadsheets
-Failure spreadsheets
, 13.Why are things like Seize, Delay, and Release in multiple templates? -
ANSWER The process module does not allow us to use Seize, Delay, and
Release with sufficient generality.
14.True or False? You can schedule failures to occur after a random number of
customers have used a resource or after a random amount of time has
passed. - ANSWER True
15.True or False? You are only allowed to schedule one type of failure for a
particular resource. - ANSWER False
16.Which block is NOT in the Blocks template? - ANSWER Process Block
- No such thing, but the Process module is in the Basic Process
panel
17.Blocks template:
- Seize block
- Delay block
- Release block
- Alter block
- Queue block
18.True or False? The Queue block can connect up to the Seize module from
the Advanced Process template. - ANSWER False
19.Which kinds of sets are allowed? - ANSWER - Resource set
- Counter set
- Entity type set
