ISYE 6644 – Simulation and Modeling for
Engineering and Science Exam 1 (Latest
Fall 2025/2026)
Exam Overview
ISYE 6644 covers modeling of discrete-event dynamic systems and
simulation-based methods for solving engineering design and analysis
problems. Exam 1 typically covers Modules 1–5, including probability
bootcamps, hand simulations, Arena simulation principles, and general
simulation concepts.
SECTION 1: TRUE/FALSE & CONCEPTUAL QUESTIONS
1. TRUE or FALSE? A 95% confidence interval means that you are 95% sure
that the true parameter lies somewhere in the interior of the interval.
Answer: True
Rationale: This is the correct interpretation of a confidence interval—the
interval contains the true parameter with 95% confidence.
2. TRUE or FALSE? The length of a confidence interval increases as you
demand higher confidence (larger 1 - α).
Answer: True
Rationale: A higher confidence level requires a wider interval, meaning the
length increases.
, 3. TRUE or FALSE? Simulation is a viable tool for analyzing complex
inventory systems that cannot be easily modeled or solved using standard
analytical methods.
Answer: True
Rationale: Simulation is particularly valuable when systems are too
complex for analytical solutions.
4. TRUE or FALSE? If the expected value of your estimator equals the
parameter you're trying to estimate, then your estimator is unbiased.
Answer: True
Rationale: This is the definition of an unbiased estimator—the expected
value equals the true parameter.
5. TRUE or FALSE? A single-server queue's length follows a Poisson
process only under specific conditions.
Answer: True
Rationale: The M/M/1 queue assumes Poisson arrivals and exponential
service times.
SECTION 2: PROBABILITY & STATISTICS
CALCULATIONS
6. Find the sample variance of -3, -2, -1, 0, 1, 2, 3.
A) 4
B) 14/3 (4.666...)
C) 2
D) 7
Engineering and Science Exam 1 (Latest
Fall 2025/2026)
Exam Overview
ISYE 6644 covers modeling of discrete-event dynamic systems and
simulation-based methods for solving engineering design and analysis
problems. Exam 1 typically covers Modules 1–5, including probability
bootcamps, hand simulations, Arena simulation principles, and general
simulation concepts.
SECTION 1: TRUE/FALSE & CONCEPTUAL QUESTIONS
1. TRUE or FALSE? A 95% confidence interval means that you are 95% sure
that the true parameter lies somewhere in the interior of the interval.
Answer: True
Rationale: This is the correct interpretation of a confidence interval—the
interval contains the true parameter with 95% confidence.
2. TRUE or FALSE? The length of a confidence interval increases as you
demand higher confidence (larger 1 - α).
Answer: True
Rationale: A higher confidence level requires a wider interval, meaning the
length increases.
, 3. TRUE or FALSE? Simulation is a viable tool for analyzing complex
inventory systems that cannot be easily modeled or solved using standard
analytical methods.
Answer: True
Rationale: Simulation is particularly valuable when systems are too
complex for analytical solutions.
4. TRUE or FALSE? If the expected value of your estimator equals the
parameter you're trying to estimate, then your estimator is unbiased.
Answer: True
Rationale: This is the definition of an unbiased estimator—the expected
value equals the true parameter.
5. TRUE or FALSE? A single-server queue's length follows a Poisson
process only under specific conditions.
Answer: True
Rationale: The M/M/1 queue assumes Poisson arrivals and exponential
service times.
SECTION 2: PROBABILITY & STATISTICS
CALCULATIONS
6. Find the sample variance of -3, -2, -1, 0, 1, 2, 3.
A) 4
B) 14/3 (4.666...)
C) 2
D) 7
