ISYE 6644 - Spring 2021 - Midterm Test 1
Instructions
This test is 120 minutes. You’re allowed one cheat sheet (both sides).
All questions are 3
... [Show More] points, except number 34, which is 1 point.
Good luck! I want you to make this test wish that it had never been born!!
This quiz was locked Mar 7 at 11:59pm.
Attempt History
| Attempt | Time | Score |
| LATEST | Attempt 1 | 111 minutes | 100 out of 100
Score for this quiz: 100 out of 100
Submitted Mar 7 at 10:51am
This attempt took 111 minutes.
Question 1
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
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 3
If the covariance of X and Y is 1/2, then X and Y cannot be independent.
Correct!
True
False
Question 4
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?
Question 5
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
IfX∼Bern(0.5),findE[12+e3X]IfX∼Bern(0.5),findE[12+e3X]
1 (
1+e3)/2(1+e3)/2
Correct!
1+(e3/2)1+(e3/2)
e3e3
2e32e3
Question 7
If X has a mean of 5 and a variance of 2, find Var(20 - 4X).
-4
4 8
16
Correct!
32
Question 8
Suppose that X is a continuous random variable with
p.d.f.f(x)=x2for0 [Show Less]