EXAM 2 | QUESTIONS AND
ANSWERS - SPRING 2026 | 100%
PRENIUM EXAM
130 Questions with Answers and Detailed Rationales
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This comprehensive examination preparation guide has been meticulously developed to help you succeed in the
ISYE 6644-ASY, OAN SIMULATION EXAM 2 | QUESTIONS AND ANSWERS - SPRING 2026 | 100% CORRECT
- GT.. It contains 130 carefully selected questions that reflect the most current exam content and testing
strategies. Each question is accompanied by a correct answer and a detailed rationale that explains the
underlying pathophysiology, pharmacology, or clinical reasoning.
Self-Assessment – Test your knowledge and Exam Preparation – Familiarize yourself with the
identify areas requiring further question format and content
study areas
Concept Reinforcement – Deepen your Confidence Building – Develop test-taking
understanding through strategies and reduce
evidence-based exam anxiety
rationales
Time Management – Practice answering
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exam conditions
Review Summary 130 Questions
Foundations - Application - ISYE 6644-asy OAN Simulation 2 AND Spring 2026 100 Correct GT Industrial
AND Systems Engineering Simulation Graduate
All answers with rationales
,Table of Contents
Content Area Questions Key Topics
Random Number Generation 1-22 Simulation, Variance, Method, Random, Distribution
Random Variate Generation 23-44 Simulation, Stochastic, Method, Critical, Estimate
Input Modeling 45-66 Simulation, Distribution, Method, Number, Variance
Verification AND Validation 67-88 Simulation, Method, Variance, Distribution, Random
Output Analysis 89-110 Simulation, Distribution, Variance, Random, Method
Variance Reduction 111-130 Simulation, Method, Analyst USES, System, Distribution
Techniques
TOTAL 130 All questions include answers and detailed rationales
,Section A - Random Number Generation
Q1.
In the context of simulation output analysis, which of the following is the most appropriate
method to estimate the variance of the sample mean when the output process exhibits
significant autocorrelation?
A. Use the sample variance of the B. Apply the method of batch means with a
observations divided by the sample size, sufficiently large batch size to reduce
assuming independence. correlation between batches.
C. Use the variance of the raw data directly D. Employ the central limit theorem to
without any adjustment. approximate the variance as the population
variance over n.
Correct: B - Apply the method of batch means with a sufficiently large batch size to reduce
correlation between batches.
Rationale:Batch means is a standard technique for handling autocorrelation in steady-state
simulation output by creating batches large enough that batch means are approximately
uncorrelated. Option A is incorrect because it ignores autocorrelation, leading to
underestimation of variance. Option C is flawed as it does not account for correlation. Option
D is a misapplication of the CLT.
Q2.
When applying the inverse transform method to generate random variates from a
continuous distribution, what is a critical requirement for the cumulative distribution
function (CDF) to be invertible?
A. The CDF must be strictly increasing and B. The CDF must have a closed-form
continuous. expression.
C. The CDF must be differentiable D. The CDF must be defined on a finite
everywhere. interval.
Correct: A - The CDF must be strictly increasing and continuous.
Rationale:Strictly increasing and continuous ensures a unique inverse for any probability
value. Closed-form is not required if numerical inversion is used. Differentiability is not
necessary; the CDF can have kinks. Finite support is not a general requirement.
Q3.
In a simulation of a queueing system, you need to generate interarrival times from a
Weibull distribution with shape parameter k=2 and scale =1.5. Which of the following is
the correct implementation using the inverse transform method?
Page 3
, Section A - Random Number Generation
A. X = 1.5 * (-ln(U))^(1/2) B. X = 1.5 * (-ln(U))^2
C. X = (1/1.5) * (-ln(U))^(1/2) D. X = 1.5 * (-ln(1-U))^(1/2)
Correct: D - X = 1.5 * (-ln(1-U))^(1/2)
Rationale:The Weibull CDF is F(x)=1-exp(-(x/»)^k). Inverting gives x = » * (-ln(1-U))^(1/k).
Since U and 1-U are identically distributed, option D is correct. Option A uses incorrectly, B
uses the wrong exponent, C inverts .
Q4.
A simulation model of a manufacturing line produces output that is used to estimate the
expected throughput. The analyst observes a high variance in the estimates. Which
variance reduction technique is specifically designed to reduce variance by using the
same random numbers across different scenarios?
A. Antithetic variates B. Common random numbers
C. Control variates D. Stratified sampling
Correct: B - Common random numbers
Rationale:Common random numbers reduce variance when comparing alternative systems
by inducing positive correlation between runs. Antithetic variates use negatively correlated
streams within one system. Control variates use auxiliary variables to adjust estimates.
Stratified sampling partitions the sample space.
Q5.
In input modeling, you have collected 200 data points and estimate the parameters of a
normal distribution. To test the goodness-of-fit, you use the chi-square test with 10
equally probable intervals. What is the degrees of freedom for the test statistic?
A. 9 B. 7
C. 8 D. 10
Correct: B - 7
Rationale:Degrees of freedom = (number of intervals - 1) - (number of estimated
parameters). For normal distribution, two parameters (mean and variance) are estimated, so
df = 10 - 1 - 2 = 7. Option A ignores parameter estimation, C uses only one parameter, D is
the number of intervals.
Q6.
In steady-state simulation analysis, which of the following methods is most effective for
determining the warm-up period to eliminate initialization bias?
Page 4