ISYE 6644 MIDTERM EXAM 2026-2027 LATEST
UPDATED VERSION QUESTIONS AND ANSWERS
We are testing a certain COVID vaccine. Our null hypothesis is the assumption that the vaccine is safe. If
we accept this null hypothesis but the medication is actually harmful, what type of error have we
committed? - answer>>Type II error
From the convolutions, select the statement that is incorrect. - answer>>The sum of 5 i.i.d. Pois(3) RVs
is Exp(15)
TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers showing up is many
times higher than the service rate of the single-server, then a queue will not be formed. -
answer>>False
TRUE or FALSE? Suppose the arrival of clients to a bank can be modeled as a Poisson process with a
given hourly rate lambda. Then the expected number of clients arriving between 10:00-11:00 am is the
same as the expected number of clients arriving between 1:00-2:00 pm. - answer>>True
TRUE or FALSE? If the covariance of X and Y is equal to 0, then X and Y must be independent. -
answer>>False
A pack contains 4 blue, 2 red, and 2 green pens. Suppose a pen is drawn at random from the pack, is
replaced, and then the process repeated one more time (for a total of two draws). What is the
probability of first drawing a blue pen and then a green pen? - answer>>1/8
Again, suppose a pack contains 4 blue, 2 red, and 2 green pens. A pen is drawn at random from the
pack, but this time the pen is not replaced, and then the process is repeated one more time (for a total
of two draws). What is the probability f first drawing a blue pen and then a red pen? - answer>>1/7
Suppose I conduct a series of independent experiments, each of which only has a 25% chance of
success. What's the probability that I'll see exactly 2 successes if I make 6 runs of the experiment. -
answer>>0.297
, If U ~ Unif(0,1), what is the distribution of -2ln(U^4)? - answer>>Exp(1/8)
TRUE or FALSE? The Unif(0,1) generator in a typical simulation language produces a deterministic
sequence of pseudo-random numbers. - answer>>True
TRUE or FALSE? You can pre-assign a service time as an attribute before you actually get to the server
that you'll be using. - answer>>True
TRUE or FALSE? If you have Create module generating one-at-a-time customer arrivals, then it is not
possible to use a different Create module with 4-at-a-time customer arrivals. - answer>>False
TRUE or FALSE? Fake customers can be used to schedule machine breakdowns, keep track of which
time period the simulation is currently in, and carry out other duties not associated with actual
customers. - answer>>True
Which module/spreadsheet is NOT in the Advanced Process panel? - answer>>Process Module. This is
in the Basic Process panel.
Why are things like Seize, Delay, Release in multiple templates? - answer>>The Process module does
not allow us to use Seize, Delay, Release with sufficient generality.
TRUE or FALSE? You can schedule failures to occur after a random number of customers have used a
resource or after a random amount of time has passed. - answer>>True
TRUE or FALSE? You are only allowed to schedule one type of failure for a particular resource. -
answer>>False
Which block is NOT in the Blocks template? - answer>>Process block. There is no such thing. However,
the Process module is in the Basic Process panel.
UPDATED VERSION QUESTIONS AND ANSWERS
We are testing a certain COVID vaccine. Our null hypothesis is the assumption that the vaccine is safe. If
we accept this null hypothesis but the medication is actually harmful, what type of error have we
committed? - answer>>Type II error
From the convolutions, select the statement that is incorrect. - answer>>The sum of 5 i.i.d. Pois(3) RVs
is Exp(15)
TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers showing up is many
times higher than the service rate of the single-server, then a queue will not be formed. -
answer>>False
TRUE or FALSE? Suppose the arrival of clients to a bank can be modeled as a Poisson process with a
given hourly rate lambda. Then the expected number of clients arriving between 10:00-11:00 am is the
same as the expected number of clients arriving between 1:00-2:00 pm. - answer>>True
TRUE or FALSE? If the covariance of X and Y is equal to 0, then X and Y must be independent. -
answer>>False
A pack contains 4 blue, 2 red, and 2 green pens. Suppose a pen is drawn at random from the pack, is
replaced, and then the process repeated one more time (for a total of two draws). What is the
probability of first drawing a blue pen and then a green pen? - answer>>1/8
Again, suppose a pack contains 4 blue, 2 red, and 2 green pens. A pen is drawn at random from the
pack, but this time the pen is not replaced, and then the process is repeated one more time (for a total
of two draws). What is the probability f first drawing a blue pen and then a red pen? - answer>>1/7
Suppose I conduct a series of independent experiments, each of which only has a 25% chance of
success. What's the probability that I'll see exactly 2 successes if I make 6 runs of the experiment. -
answer>>0.297
, If U ~ Unif(0,1), what is the distribution of -2ln(U^4)? - answer>>Exp(1/8)
TRUE or FALSE? The Unif(0,1) generator in a typical simulation language produces a deterministic
sequence of pseudo-random numbers. - answer>>True
TRUE or FALSE? You can pre-assign a service time as an attribute before you actually get to the server
that you'll be using. - answer>>True
TRUE or FALSE? If you have Create module generating one-at-a-time customer arrivals, then it is not
possible to use a different Create module with 4-at-a-time customer arrivals. - answer>>False
TRUE or FALSE? Fake customers can be used to schedule machine breakdowns, keep track of which
time period the simulation is currently in, and carry out other duties not associated with actual
customers. - answer>>True
Which module/spreadsheet is NOT in the Advanced Process panel? - answer>>Process Module. This is
in the Basic Process panel.
Why are things like Seize, Delay, Release in multiple templates? - answer>>The Process module does
not allow us to use Seize, Delay, Release with sufficient generality.
TRUE or FALSE? You can schedule failures to occur after a random number of customers have used a
resource or after a random amount of time has passed. - answer>>True
TRUE or FALSE? You are only allowed to schedule one type of failure for a particular resource. -
answer>>False
Which block is NOT in the Blocks template? - answer>>Process block. There is no such thing. However,
the Process module is in the Basic Process panel.
