ISYE 6644 - Spring 2026 Midterm Test 1 Questions
and Answers | Latest Update 2026/2027 | Graded A+ |
100% Correct.
Attempt History
Score for this quiz: 100 out of 100
Submitted Mar 7 at 10:51am This
attempt took 111 minutes.
Question 1
pts
True or False ? Discrete-event simulations are particularly suitable for
analyzing continuous-flow phenomena such as the velocity and altitude of
an aircraft as it comes in for a landing.
True
Correct!
False
Question 2
pts
Consider a single-server queue simulation with i.i.d. exponential
interarrivals, i.i.d. exponential services, and a first-in-first-out service
discipline. Suppose that the arrival rate is 5 per hour, and the service rate is
4 per hour. What will happen in the long run?
(a) The server will be busy about 20% of the time.
,Correct!
(b) The server will be busy all of the time.
(c) The number of custmers in the system (line + in service) will never exceed 9.
(d) The length of the line will never exceed 5.
(e) The average number of people in the queue will converge to around 4.
Question 4
pts
The planet Glubnor has 120-day years. Suppose there are four
Glubnorians in the room. What is the probability that at least two of them
share the same birthday?
0.015
0.025
Correct!
0.049
, 0.149
0.975
Question 3
pts
If the covariance of X and Y is 1/2, then X and Y cannot be independent.
Correct!
True
False
Question 5
pts
Suppose the arrivals of clients to a bank can be modeled as a Poisson
process with a given hourly rate λλ . Then the number of clients arriving
between 10:00–11:00 am is independent of the number of clients arriving
between 1:00–2:00 pm.
Correct!
True
False
Question 6
pts
IfX∼Bern(0.5),findE[12+e3X]IfX∼Bern(0.5),findE[12+e3X]
and Answers | Latest Update 2026/2027 | Graded A+ |
100% Correct.
Attempt History
Score for this quiz: 100 out of 100
Submitted Mar 7 at 10:51am This
attempt took 111 minutes.
Question 1
pts
True or False ? Discrete-event simulations are particularly suitable for
analyzing continuous-flow phenomena such as the velocity and altitude of
an aircraft as it comes in for a landing.
True
Correct!
False
Question 2
pts
Consider a single-server queue simulation with i.i.d. exponential
interarrivals, i.i.d. exponential services, and a first-in-first-out service
discipline. Suppose that the arrival rate is 5 per hour, and the service rate is
4 per hour. What will happen in the long run?
(a) The server will be busy about 20% of the time.
,Correct!
(b) The server will be busy all of the time.
(c) The number of custmers in the system (line + in service) will never exceed 9.
(d) The length of the line will never exceed 5.
(e) The average number of people in the queue will converge to around 4.
Question 4
pts
The planet Glubnor has 120-day years. Suppose there are four
Glubnorians in the room. What is the probability that at least two of them
share the same birthday?
0.015
0.025
Correct!
0.049
, 0.149
0.975
Question 3
pts
If the covariance of X and Y is 1/2, then X and Y cannot be independent.
Correct!
True
False
Question 5
pts
Suppose the arrivals of clients to a bank can be modeled as a Poisson
process with a given hourly rate λλ . Then the number of clients arriving
between 10:00–11:00 am is independent of the number of clients arriving
between 1:00–2:00 pm.
Correct!
True
False
Question 6
pts
IfX∼Bern(0.5),findE[12+e3X]IfX∼Bern(0.5),findE[12+e3X]
