ISYE 6644 SIMULATION REVIEW
QUESTIONS MODULE 1 EXAM
QUESTIONS WITH COMPLETE
SOLUTIONS
We are interested in modeling the arrival and service process at the local McBurger
Queen burger joint. Customers come in every once in a while, stand in line, eventually
get served, and off they go. Generally speaking, what kind of model are we talking
about here? (More than one answer below may be right.) - ANSWERSDiscrete
(because events such as arrivals and service completions only happen once in a while,
as opposed to continuously) and Stochastic (because customer arrival times, service
times, shift changes, etc., are all random)
Inscribe a circle in a unit square and toss 1000 random darts at the square. Suppose
that 800 of those darts land in the circle. Using the technology developed in this lesson,
what is the resulting estimate for π ? - ANSWERS3.2 Since the estimate 𝜋̂ = 4 x
(proportion in circle). Note that (a) is the University of Georgia answer, and is
completely incorrect.
Which of the following can be regarded as advantages of simulation? (More than one
answer below may be right.) - ANSWERSSimulation enables you to study models too
complicated for analytical or numerical treatment.
Simulations can serve as very pretty demos.
Simulation can be used to study detailed relations that might be lost in an analytical or
numerical treatment.
Who is William Gosset? - ANSWERSHe invented the t distribution that is used
ubiquitously in statistics.
Suppose there are 40 random people in a room. What is the probability that at least two
of them will have the same birthday? - ANSWERSSomewhat greater than 1/2. In fact,
you only need 23 people in the room to achieve a probability of 1/2
Suppose that we generate a pseudo-random number U = 0.728. Use this to generate
an Exponential ( λ = 3 ) random variate. - ANSWERS0.106 -(1/lambda)ln(U)
TRUE or FALSE? Simulation outputs such as consecutive customer waiting times are
almost always independent and identically distributed normal random variables. -
ANSWERSFalse outputs are almost neveri.i.d
QUESTIONS MODULE 1 EXAM
QUESTIONS WITH COMPLETE
SOLUTIONS
We are interested in modeling the arrival and service process at the local McBurger
Queen burger joint. Customers come in every once in a while, stand in line, eventually
get served, and off they go. Generally speaking, what kind of model are we talking
about here? (More than one answer below may be right.) - ANSWERSDiscrete
(because events such as arrivals and service completions only happen once in a while,
as opposed to continuously) and Stochastic (because customer arrival times, service
times, shift changes, etc., are all random)
Inscribe a circle in a unit square and toss 1000 random darts at the square. Suppose
that 800 of those darts land in the circle. Using the technology developed in this lesson,
what is the resulting estimate for π ? - ANSWERS3.2 Since the estimate 𝜋̂ = 4 x
(proportion in circle). Note that (a) is the University of Georgia answer, and is
completely incorrect.
Which of the following can be regarded as advantages of simulation? (More than one
answer below may be right.) - ANSWERSSimulation enables you to study models too
complicated for analytical or numerical treatment.
Simulations can serve as very pretty demos.
Simulation can be used to study detailed relations that might be lost in an analytical or
numerical treatment.
Who is William Gosset? - ANSWERSHe invented the t distribution that is used
ubiquitously in statistics.
Suppose there are 40 random people in a room. What is the probability that at least two
of them will have the same birthday? - ANSWERSSomewhat greater than 1/2. In fact,
you only need 23 people in the room to achieve a probability of 1/2
Suppose that we generate a pseudo-random number U = 0.728. Use this to generate
an Exponential ( λ = 3 ) random variate. - ANSWERS0.106 -(1/lambda)ln(U)
TRUE or FALSE? Simulation outputs such as consecutive customer waiting times are
almost always independent and identically distributed normal random variables. -
ANSWERSFalse outputs are almost neveri.i.d
