ISYE 6644 MIDTERM AND FINAL 2026/2027 Test Exam 150
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Exam coverage for the ISYE 6644 Midterm and Final Exam includes the probability, statistics,
simulation methodology, and computational techniques used to model and analyze
discrete-event dynamic systems. The course emphasizes simulation modeling and statistical
analysis for engineering and operational decision-making, including both foundational
concepts assessed in the midterm and more advanced simulation-analysis methods
assessed in the final.
Suppose that X is a continuous RV with p.d.f. f(x) = 30x^4(1-x) for 0<x<1. What's a good
method that you can use to generate a realization of X? - correct answer-AcceptanceRejection
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)? - correct answer-2.7. X(4)
means the largest of the sample of 4 observations.
Which of the following are true? - correct answer-The closer the majorizing function t(x) is to the
true p.d.f. f(x), the more efficient the A-R algorithm is; h(y) = t(y)/integral of t(x) is itself a p.d.f.,
random variates from h(y) should be "easy" to generate
Suppose that an airline can experience three types of departure delays - A, B, and C, which
occur with probabilities 0.4, 0.1, and 0.5, respectively. Delays A, B, and C are exponential,
normal, and Weibull, respectively. YES or NO? Would the composition method be a good
choice to generate a delay time for this scenario? - correct answer-Yes. Composition would be
much more efficient than figuring out and delaying with the crazy c.d.f. of the overall delay.
Let H and W denote a person's height and weight. Which of the following best describes
the joint distribution of (H,W)? - correct answer-Bivariate normal distribution with positive
correlation coefficient.
The multivariate normal distribution's covariance matrix sigma can be decomposed into the form
sigma = CC^T. What does the C informally stand for? - correct answer-Cholesky
, 11 August 2026
TRUE or FALSE? The time between Poisson(lambda) arrivals are i.i.d. Exp(lambda). - correct
answerTrue. As long as lambda doesn't change over time.
TRUE or FALSE? The times between nonhomogeneous Poisson(lambda) arrivals are i.i.d.
Exp(lambda)? - correct answer-False. They are independent but the distribution changes as the
arrival rate changes over time.
What is the recommended method to generate nonhomogeneous Poisson arrivals? - correct
answerThinning
Brownian motion is also known as... - correct answer-Wiener process
Let W(t) denote a Brownian motion process at time t. What is Cov(W(2),W(3))? - correct answer-2.
Cov(W(s),W(t)) = min(s,t)
TRUE or FALSE? (Almost) every simulation language utilizes a future events list to process events in
order by time. - correct answer-True
TRUE or FALSE? In Arena, variables are global. - correct answer-True
In Arena, you can use the SEIZE-DELAY-RELEASE module series instead of a single PROCESS module. -
correct answer-True
TRUE or FALSE? In Arena, you can find a SEIZE (i) inside a PROCESS module, (ii) in the Advanced
Process template, (iii) in the Primitive Blocks template. - correct answer-True
In Arena, what kind of module would you use to give a new value to an attribute? - correct
answerASSIGN
TRUE or FALSE? In Arena, certain resources can be in more than one resource set. - correct
answerTrue
TRUE or FALSE? An Arena DECIDE module can route customers probabilistically or conditionally to
multiple locations? - correct answer-True