ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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This quiz has been regraded; your new score reflects 2 questions that were affected.
ISyE 6644 - Summer 2020 - Midterm Test 1
| Due Jun 14 at 11:59pm | Points 100 | Questions 34
| Available Jun 5 at 8am - Jun 14 at 11:59pm 10 days | Time Limit 120 Minutes |
Instructions
This quiz was locked Jun 14 at 11:59pm.
This test is 120 minutes. You're allowed one cheat sheet (both sides). You will find tables (Normal, t
and Chi2) on this exam's last page.
All questions are 3 points, except number 34, which is worth 1 point!
Good luck! I want you to make this test wish that it had never been born!!!
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8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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Attempt History
Attempt Time Score Regraded
LATEST Attempt 1 116 minutes 84 out of 100 88 out of 100
Score for this quiz: 88 out of 100
Submitted Jun 14 at 11:40pm
This attempt took 116 minutes.
| Question 1 3 / 3 pts
| TRUE or FALSE? Simulation can be used to study detailed relations that
might be lost in an analytical or numerical treatment, but it might be very
time consuming/costly.
True
False
| Question 2 3 / 3 pts
| 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.
False
True
| Question 3 3 / 3 pts
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
https://gatech.instructure.com/courses/128642/quizzes/128199?module_item_id=751192 3/21
TRUE or FALSE? Suppose the arrival of clients to a bank can be modeled
as a Poisson process with a given hourly rate . Then the expected
number of clients arriving between 10:00-11:00am is the same as the
expected number of clients arriving between 1:00-2:00pm.
True
False
| Question 4 3 / 3 pts
| TRUE or FALSE? If the covariance of and is equal to zero, i.e.
, then and must be independent.
False
True
| Question 5 Original Score: 0 / 3 pts Regraded Score: 3 / 3 pts
| This question has been regraded.
TRUE or FALSE? Suppose I toss two fair dice. The events "sum is less or
equal than 2" and "sum is greater than 11" are independent.
True
False
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
https://gatech.instructure.com/courses/128642/quizzes/128199?module_item_id=751192 4/21
| Question 6 3 / 3 pts
| 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?
| Question 7 3 / 3 pts
| 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 of first drawing a blue pen and then a red pen?
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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| Question 8 3 / 3 pts
| A company that sells plastic covers for CDs, DVDs, and Blu-ray disks
offers 6 different models, which differ from each other according to
measurements for the length and the height. All the covers have the same
thickness. An engineer who works for the company had come up with a
nice table for the joint p.m.f. of two random variables , the
height in inches of the plastic cover sold, and , the length in inches of
the plastic cover sold. Unfortunately, however, he has spilled coffee on it,
and now some of the entries are blurred.
Knowing that a CD plastic cover is the only plastic cover that has a square
format, i.e., equal height and length, and this is the only format in which
these CD covers are sold, find the probability that the company will sell a
e. None of the above.
| Question 9 3 / 3 pts
| Consider again the same joint p.m.f. of two random variables ,
the height in inches of the plastic cover sold, and , the length in inches
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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of the plastic cover sold.
Find the expected value of , i.e., the expected value of the height in
inches of a plastic cover sold.
e. None of the above.
| Question 10 3 / 3 pts
| Suppose that is a continuous random variable with p.d.f.
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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| Question 11 3 / 3 pts
| 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?
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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| Question 13 3 / 3 pts
| If has a mean of and a variance of , find .
| Question 14 3 / 3 pts
| Suppose that is normally distributed with a mean of and a variance of
, and is also normally distributed but with a mean of and a
variance of . Further assume that and are independent. Find
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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| Question 15 0 / 3 pts
| Consider a Poisson process with rate . What is the
probability that the time between the 5th and 6th arrivals is greater than
hour?
orrect Answer orrect Answer ou Answered ou Answered d. 0.865
e. 1
| Question 16 3 / 3 pts
| Consider again a Poisson process with rate . What is the
probability that we observe exactly arrival by the end of the first hour?
8/3/2020 ISyE 6644 - Summer 2020 - Midterm Test 1: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01
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| Question 17 3 / 3 pts
| d.Suppose are i.i.d. from a distribution. What is the
approximate distribution of the sample mean for ? [Show Less]