ISYE 6644 - final prep2 Latest Update 2025-2026
55 Questions and 100% Verified Correct Answers
Guaranteed A+
An Arena ASSIGN module can be used to assign values to attributes and variables -
CORRECT ANSWER: TRUE
An entity can be scheduled to visit the same resource twice, with different service time
distributions on the two visits! - CORRECT ANSWER: TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain distributions
to data. - CORRECT ANSWER: TRUE
Draw an Arena DECIDE block - CORRECT ANSWER: It's a sideways diamond.
Find x such that e 2x = 1/x. (Get within two decimals) - CORRECT ANSWER: Bisection
search quickly reveals that x is about 0.4265
If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value makes this thing
integrate to 1, then X and Y are independent random variables - CORRECT ANSWER:
TRUE. (Because f(x, y) = a(x)b(y) factors nicely, and there are no funny limits.)
If W(t) is a standard Brownian motion process and a < b, find Pr(W(a) < W(b)). -
CORRECT ANSWER: W(a) − W(b) is normally distributed with mean 0. This
immediately yields a probability of 1/2.
If X1, . . . , Xn are i.i.d. Exp(1/9), what is the expected value of the sample variance S 2
? - CORRECT ANSWER: E[S^2 ] = σ^2 = 81.
, If you are using a ranking-and-selection procedure and two competitors happen to fall
within the indifference-zone, then you don't really care too much which one you end up
selecting. - CORRECT ANSWER: TRUE. That's why it's called the IZ!
In Arena, you can LEAVE a station. What is the analogous block to use to get into a
station? - CORRECT ANSWER: ENTER
In Arena, you can use a single DECIDE module to route customers to that one of four
servers having the smallest queue. - CORRECT ANSWER: TRUE
In our Arena Call Center example, it was possible for entities to be left in the system
when it shut down at 7:00 p.m. (even though we stopped allowing customers to enter
the system at 6:00 p.m.). - CORRECT ANSWER: TRUE — because of the small chance
that a callback will occur.
In what Arena template would you find the Sequence spreadsheet? - CORRECT
ANSWER: Advanced Transfer.
Regarding Linear Congruential Generators (LCG's), select the statement that is correct.
- CORRECT ANSWER: Both full periodicity and cycle length properties should be
considered when choosing a good LCG.
Suppose I use the method of overlapping batch means with sample size n = 10000 and
batch size m = 500. Approximately how many degrees of freedom will the resulting
variance estimator have? - CORRECT ANSWER: Denote b = n/m = 20. You get
approximately 3 2 (b − 1) = 28.5 d.f. (Will also accept 3b/2 = 30 or anything reasonably
close.)
Suppose that I'm interested in selecting the most popular television show during a
particular time period. What kind of selection problem is this — (a) normal, (b)
multinomial, or (c) Bernoulli? - CORRECT ANSWER: b
55 Questions and 100% Verified Correct Answers
Guaranteed A+
An Arena ASSIGN module can be used to assign values to attributes and variables -
CORRECT ANSWER: TRUE
An entity can be scheduled to visit the same resource twice, with different service time
distributions on the two visits! - CORRECT ANSWER: TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain distributions
to data. - CORRECT ANSWER: TRUE
Draw an Arena DECIDE block - CORRECT ANSWER: It's a sideways diamond.
Find x such that e 2x = 1/x. (Get within two decimals) - CORRECT ANSWER: Bisection
search quickly reveals that x is about 0.4265
If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value makes this thing
integrate to 1, then X and Y are independent random variables - CORRECT ANSWER:
TRUE. (Because f(x, y) = a(x)b(y) factors nicely, and there are no funny limits.)
If W(t) is a standard Brownian motion process and a < b, find Pr(W(a) < W(b)). -
CORRECT ANSWER: W(a) − W(b) is normally distributed with mean 0. This
immediately yields a probability of 1/2.
If X1, . . . , Xn are i.i.d. Exp(1/9), what is the expected value of the sample variance S 2
? - CORRECT ANSWER: E[S^2 ] = σ^2 = 81.
, If you are using a ranking-and-selection procedure and two competitors happen to fall
within the indifference-zone, then you don't really care too much which one you end up
selecting. - CORRECT ANSWER: TRUE. That's why it's called the IZ!
In Arena, you can LEAVE a station. What is the analogous block to use to get into a
station? - CORRECT ANSWER: ENTER
In Arena, you can use a single DECIDE module to route customers to that one of four
servers having the smallest queue. - CORRECT ANSWER: TRUE
In our Arena Call Center example, it was possible for entities to be left in the system
when it shut down at 7:00 p.m. (even though we stopped allowing customers to enter
the system at 6:00 p.m.). - CORRECT ANSWER: TRUE — because of the small chance
that a callback will occur.
In what Arena template would you find the Sequence spreadsheet? - CORRECT
ANSWER: Advanced Transfer.
Regarding Linear Congruential Generators (LCG's), select the statement that is correct.
- CORRECT ANSWER: Both full periodicity and cycle length properties should be
considered when choosing a good LCG.
Suppose I use the method of overlapping batch means with sample size n = 10000 and
batch size m = 500. Approximately how many degrees of freedom will the resulting
variance estimator have? - CORRECT ANSWER: Denote b = n/m = 20. You get
approximately 3 2 (b − 1) = 28.5 d.f. (Will also accept 3b/2 = 30 or anything reasonably
close.)
Suppose that I'm interested in selecting the most popular television show during a
particular time period. What kind of selection problem is this — (a) normal, (b)
multinomial, or (c) Bernoulli? - CORRECT ANSWER: b
