ISYE 6644 - GT ACTUAL EXAM PAPER 2026
QUESTIONS WITH ANSWERS GRADED A+
◍ In general, the majorizing function t(x) is itself a p.d.f. f(x)?.
Answer: False
◍ Consider four observations from some unknown distribution, X1=1.5, X2 =
-3.7, X3=2.7, and X4= 0.6. What is the fourth order statistic, denoted X(4)?.
Answer: 2.7. X(4) means the largest of the sample of 4 observations.
◍ Suppose that U1 and U2 are PRNs. Whats the distribution of U1 + U2?.
Answer: Triangular(0,1,2)
◍ TRUE or FALSE? (1XOR1)XOR1 = 1?.
Answer: True. (1XOR1)XOR1 = 0XOR1 = 1
◍ TRUE or FALSE? The proof that A-R works is really easy..
Answer: False
◍ The name of the automatically supplied ARENA attribute that stores a
particular entity's sequence is Entity.Sequence?.
Answer: True
◍ TRUE or FALSE? You can find the inverse c.d.f. of the standard normal
distribution in closed form..
Answer: False. You need to use an approximation.
◍ Where can you set the buffer size of a certain queue?.
Answer: In a Queue block in the Blocks template
◍ In Queuing models, what does each part of the Kendall notation mean:
A/B/C (general version) applied to a M/M/1 (a specific version)(M1L7)?.
Answer: A = Distrib of arrival timesB = Distrib. of service timesC = # of
servers in the systemM = arrival times are Poisson process (lambda)M =
, exponential service times (mu)1 = a single server"M" stands for Markov,
but really it means exponential?
◍ TRUE or FALSE? The times between nonhomogeneous Poisson(lambda)
arrivals are i.i.d. Exp(lambda)?.
Answer: False. They are independent but the distribution changes as the
arrival rate changes over time.
◍ TRUE or FALS
E. In our inventory demo, fake customers are used to initiate a periodic
inventory review..
Answer: True
◍ Suppose you are approximating the solution of a simple differential equation
involving the function f(x), and you appeal to the relation f(x+h) = f(x) +
hf'(x), where h is some "small" number. What is this method called?.
Answer: Euler's Method
◍ If X is a continuous variable with c.d.f. F(x), what's the distribution of
F(X)?.
Answer: Unif(0,1). Inverse transform theorem.
◍ YES or NO? Does Xi = (Xi-1 + 12)mod(13) have full period?.
Answer: Yes, it trivially cycles through 0,1,2,....,11
◍ Which of the following PRN generators aren't very good?.
Answer: Generators involving physical devices such as coin flips or at least
significant digit readings from an atomic clock, random number tables, von
Neuman's mid-square method, Fibonacci and additive congruential
generators.
◍ What is a model (M1L3)?.
Answer: High-level representations of the operation of a real-word process
or system.
◍ Which high-level simulation modeling approach does ARENA employ?.
Answer: Process-Interaction
, ◍ What are the 3 general steps for the inverse transform method (M1L8)?.
Answer: 1. Generate the Unif (0, 1) PRN (U_i)2. For the desired probability
distribution, get the inverse of its CDF (F^-1(U_i)). This involves setting the
CDF (F(X)) equal to U, and then solving for X (X will by F^-1(U), a
function of U).3. Plugging in U values from #1 into #2, gets a random
variable from the desired distribution!
◍ Which module/spreadsheet is NOT in the Advanced Process panel?.
Answer: Process Module. This is in the Basic Process panel.
◍ YES or NO? Suppose X and Y are random variables that have joint p.d.f.
f(x,y) = c(x+y) for 0<=x<=1 and 0<=y<=1, where c is the constant that
makes this integrate to 1. Are X and Y independent?.
Answer: No
◍ In Arena, what typically happens when you do not RELEASE a SEIZE'd
resource?.
Answer: A long line forms in front of the resource.
◍ YES or NO? As in the notes, suppose that I want to generate a simple
Unif(2/3,1) via A-
R. Suppose I generate a PRN U1 = 0.16. Do I accept U1 as my Unif(2/3,1)?.
Answer: No. In this example, we only accept U1 >= 2/3; so we reject and try
again until we meet that condition.
◍ Modules and spreadsheets from which panels are used in the demo?.
Answer: Basic Process, Advanced Process, Advanced Transfer
◍ TRUE or FALSE? There are good PRN generators out there having
incredible cycle lengths of over 2^100.
Answer: True
◍ Where can you find some sort of Seize?.
Answer: Within a Process module in the Basic Process template, A seize
module in the Advanced Process template, A Seize block in the Blocks
template
QUESTIONS WITH ANSWERS GRADED A+
◍ In general, the majorizing function t(x) is itself a p.d.f. f(x)?.
Answer: False
◍ Consider four observations from some unknown distribution, X1=1.5, X2 =
-3.7, X3=2.7, and X4= 0.6. What is the fourth order statistic, denoted X(4)?.
Answer: 2.7. X(4) means the largest of the sample of 4 observations.
◍ Suppose that U1 and U2 are PRNs. Whats the distribution of U1 + U2?.
Answer: Triangular(0,1,2)
◍ TRUE or FALSE? (1XOR1)XOR1 = 1?.
Answer: True. (1XOR1)XOR1 = 0XOR1 = 1
◍ TRUE or FALSE? The proof that A-R works is really easy..
Answer: False
◍ The name of the automatically supplied ARENA attribute that stores a
particular entity's sequence is Entity.Sequence?.
Answer: True
◍ TRUE or FALSE? You can find the inverse c.d.f. of the standard normal
distribution in closed form..
Answer: False. You need to use an approximation.
◍ Where can you set the buffer size of a certain queue?.
Answer: In a Queue block in the Blocks template
◍ In Queuing models, what does each part of the Kendall notation mean:
A/B/C (general version) applied to a M/M/1 (a specific version)(M1L7)?.
Answer: A = Distrib of arrival timesB = Distrib. of service timesC = # of
servers in the systemM = arrival times are Poisson process (lambda)M =
, exponential service times (mu)1 = a single server"M" stands for Markov,
but really it means exponential?
◍ TRUE or FALSE? The times between nonhomogeneous Poisson(lambda)
arrivals are i.i.d. Exp(lambda)?.
Answer: False. They are independent but the distribution changes as the
arrival rate changes over time.
◍ TRUE or FALS
E. In our inventory demo, fake customers are used to initiate a periodic
inventory review..
Answer: True
◍ Suppose you are approximating the solution of a simple differential equation
involving the function f(x), and you appeal to the relation f(x+h) = f(x) +
hf'(x), where h is some "small" number. What is this method called?.
Answer: Euler's Method
◍ If X is a continuous variable with c.d.f. F(x), what's the distribution of
F(X)?.
Answer: Unif(0,1). Inverse transform theorem.
◍ YES or NO? Does Xi = (Xi-1 + 12)mod(13) have full period?.
Answer: Yes, it trivially cycles through 0,1,2,....,11
◍ Which of the following PRN generators aren't very good?.
Answer: Generators involving physical devices such as coin flips or at least
significant digit readings from an atomic clock, random number tables, von
Neuman's mid-square method, Fibonacci and additive congruential
generators.
◍ What is a model (M1L3)?.
Answer: High-level representations of the operation of a real-word process
or system.
◍ Which high-level simulation modeling approach does ARENA employ?.
Answer: Process-Interaction
, ◍ What are the 3 general steps for the inverse transform method (M1L8)?.
Answer: 1. Generate the Unif (0, 1) PRN (U_i)2. For the desired probability
distribution, get the inverse of its CDF (F^-1(U_i)). This involves setting the
CDF (F(X)) equal to U, and then solving for X (X will by F^-1(U), a
function of U).3. Plugging in U values from #1 into #2, gets a random
variable from the desired distribution!
◍ Which module/spreadsheet is NOT in the Advanced Process panel?.
Answer: Process Module. This is in the Basic Process panel.
◍ YES or NO? Suppose X and Y are random variables that have joint p.d.f.
f(x,y) = c(x+y) for 0<=x<=1 and 0<=y<=1, where c is the constant that
makes this integrate to 1. Are X and Y independent?.
Answer: No
◍ In Arena, what typically happens when you do not RELEASE a SEIZE'd
resource?.
Answer: A long line forms in front of the resource.
◍ YES or NO? As in the notes, suppose that I want to generate a simple
Unif(2/3,1) via A-
R. Suppose I generate a PRN U1 = 0.16. Do I accept U1 as my Unif(2/3,1)?.
Answer: No. In this example, we only accept U1 >= 2/3; so we reject and try
again until we meet that condition.
◍ Modules and spreadsheets from which panels are used in the demo?.
Answer: Basic Process, Advanced Process, Advanced Transfer
◍ TRUE or FALSE? There are good PRN generators out there having
incredible cycle lengths of over 2^100.
Answer: True
◍ Where can you find some sort of Seize?.
Answer: Within a Process module in the Basic Process template, A seize
module in the Advanced Process template, A Seize block in the Blocks
template
