Exam 1: Simulation - ISYE-6644-ASY/ ISYE 6644 Exam 1 (Latest fall 2025-26) | Score for this quiz: 67 out of 100 - Georgia Institute Of Technology.

Exam 1: Simulation - ISYE-6644-ASY/ ISYE 6644 Exam 1 (Latest fall 2025-26) | Score for this quiz: 67 out of 100 - Georgia Institute Of Technology. Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Exam 1 Due Oct 5 at 8:59pm Points 100 Questions 34 Available Sep 26 at 5am - Oct 5 at 8:59pm Time Limit 120 Minutes Instructions This test is 120 minutes. You’re allowed one cheat sheet (both sides). This test requires a proctor. All questions are 3 points, except number 34, which is 1 point. Good luck! I want you to make this test wish that it had never been born!!! If you run into a technical issue during your exam, please contact the appropriate provider: Canvas: Call or use the chat chattype=student ( Honorlock: Use available chat function to contact Honorlock support.Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Honorlock Chrome Extension This assessment requires Google Chrome and the Honorlock Chrome Extension. Come back to this page using Google Chrome to continue. Language English (United States) Google Chrome Google Chrome is required to use Honorlock Download Chrome Need Help? Chat with our support team nowExam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM This quiz was locked Oct 5 at 8:59pm. Attempt History Attempt Time Score LATEST Attempt 1 47 minutes 67 out of 100 Score for this quiz: 67 out of 100 Submitted Oct 5 at 7:30pm This attempt took 47 minutes. Wrong answer ! Question 1 0 / 3 pts True False Correct answer ! © Honorlock Inc. Support ( TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers showing up is greater than the service rate of the single-server, then a long queue will only rarely be formed.Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Question 2 3 / 3 pts Wrong answer ! Question 3 0 / 3 pts True False Correct answer ! Question 4 3 / 3 pts Correct answer Consider a family that has 2 children. Assume that and that the genders of the 2 kids are independent. What is the probability that both kids are boys given that we know at least 1 of them is a boy? TRUE or FALSE? Discrete-event simulations are particularly suitable for analyzing continuous-flow phenomena such as weather patterns propagating across the country. The planet Tranya has 240-day years. Suppose there are three Tranyanians in the room. What is the probability that at least two of them share the same birthday?Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM ! Question 5 3 / 3 pts True False Wrong answer ! Question 6 0 / 3 pts 0 0.2 0.25 0.75 0.8 Correct answer ! Question 7 3 / 3 pts None of the above. Correct answer ! Question 8 3 / 3 pts TRUE or FALSE? The function for is a valid p.d.f. Suppose that is a continuous random variable with p.d.f. for . Find . If , find .Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM a. 1/6 b. 5/3 c. 5/2 d. 11/3 e. 12 Correct answer ! Question 9 3 / 3 pts a. 0.06 b. 0.16 c. 0.21 d. 0.25 e. 0.49 Wrong answer ! Question 10 0 / 3 pts YES NO Suppose and are continuous random variables with joint p.d.f. , , , for some appropriate constant . Find Suppose and are discrete random variables with the following joint p.m.f. Find . Suppose that and have joint p.d.f. for where is whatever constant that makes this p.d.f. integrate to . Are and independent?Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Wrong answer ! Question 11 0 / 3 pts True False Correct answer ! Question 12 3 / 3 pts 0 1/20 1/10 1/2 9/10 Correct answer ! Question 13 3 / 3 pts True False Correct answer ! Question 14 3 / 3 pts TRUE or FALSE? If the covariance of and is non-zero, then it is still possible for and to be independent. Suppose that and are identically distributed with a mean of 5, a variance of 20, and . Find . 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 12:00-2:00 pm is greater than the expected number of clients arriving between 10:00-11:00 am. Joey's Lightbulb Company sells bulbs that have lifetimes. Suppose I just boughtExam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM a. 0.14 b. 0.16 c. 0.50 d. 0.84 e. 1.00 Wrong answer ! Question 15 0 / 3 pts 0.135 0.342 0.481 0.841 1.206 Correct answer ! Question 16 3 / 3 pts 100 lightbulbs from Joey. What is the approximate probability that the average of the 100 bulb lifetimes will be at most 1.1 years? Consider the following integral: Use the following four random numbers to compute a Monte Carlo estimate of . Here's the formula from class that ought to be used to calculate the estimate: Toss darts uniformly into a unit cube. In class, we saw that we can use the proportion of darts that land in the sphere of radius 1/2 in that unit cube to get an estimate of . (Note that the volume of this sphere is .) Considering these facts, fill in the blanks in the followingExam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM , Law of the Unconscious Statistician (LOTUS) , Law of Large Numbers (LLN) , Law of Large Numbers (LLN) , Central Limit Theorem (CLT) , Central Limit Theorem (CLT) Wrong answer ! Question 17 0 / 3 pts (a) (b) (c) Either or (d) All of the above. (e) Only (a) and (c). Correct answer ! Question 18 3 / 3 pts statement: "An estimate of is , which converges to as becomes large by the ". Suppose and are i.i.d. Unif(0,1) random variables. Select from the options below an appropriate expression to generate sum of two 10-sided die tosses. (Recall that is the 'ceiling' or 'round up' function. ) Consider the discrete random variable :Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Correct answer ! Question 19 3 / 3 pts -0.693 -0.347 0.347 0.693 1.386 Wrong answer ! Question 20 0 / 3 pts 0 1 3 5 7 Correct answer ! Question 21 Use the discrete version of the Inverse Transform method from class and the pseudorandom number to generate one observation coming from this p.m.f. Suppose that we generate a Unif(0,1) PRN, U = 0.5. Now use the Inverse Transform Method to generate an Exponential random variate with . Consider the linear congruential generator . If , calculateExam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM 3 / 3 pts 14 16 20 22 26 Correct answer ! Question 22 3 / 3 pts 8 11 12 14.6 22 Correct answer ! Question 23 Consider a single-server system where the first customer arrives at time 2 and starts getting served immediately. The interarrival times for the next 3 customers that arrive are all equal to 2 --- they are so well-behaved!! This means that customer 2 shows up at time 4, customer 3 arrives at time 6, and customer 4 at time 8. The line rule is FIFO, and suppose service times decrease as more customers arrive. The service times for customers 1,2,3,4 are 12, 8, 4, 2, respectively. When does the third customer (i.e., the customer who arrives at time 6) leave the system? Consider a single-server system where the first customer arrives at time 2 and starts getting served immediately. The interarrival times for the next 3 customers that arrive are all equal to 2 --- they are so well-behaved!! This means that customer 2 shows up at time 4, customer 3 arrives at time 6, and customer 4 at time 8. The line rule is LIFO, and suppose service times decrease as more customers arrive. The service times for customers 1,2,3,4 are 12, 8, 4, 2, respectively. What is the average waiting time (in line) for the 4 customers?Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM 3 / 3 pts Problem Formulation Data Collection Output Analysis Validation Input Analysis Wrong answer ! Question 24 0 / 3 pts True False Correct answer ! Question 25 3 / 3 pts True False Correct answer ! Question 26 3 / 3 pts True In the course of a simulation study at Disneyworld, we provide our client with confidence intervals for the mean customer waiting time in front of the Space Mountain attraction. What step of the simulation study process is this? TRUE or FALSE? An activity is a wait time of unspecified length, e.g., a customer waiting time. TRUE or FALSE? Entities can have various properties or attributes (e.g., the priority of a customer). TRUE or FALSE? In a discrete-event simulation, it is possible for two events (e.g., an arrival and a departure) to happen simultaneously with respect to the simulation clock.Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM False Correct answer ! Question 27 3 / 3 pts True False Correct answer ! Question 28 3 / 3 pts This approach is used in continuous-time models. This approach can be boring --- the system state doesn't always change / get updated with each increment. This approach is ideal for models where data is only available at fixed times. This approach allows the simulation clock to move both backward and forward in fixed time increments. Correct answer ! Question 29 3 / 3 pts True False Wrong answer ! Question 30 0 / 3 pts True False TRUE or FALSE? The simulation clock is a variable that represents simulated time. Which of the following is FALSE about the Fixed-Increment time-advance mechanism? TRUE or FALSE? Deep down inside almost all discrete-event simulation software packages, you will find an event-scheduling routine. TRUE or FALSE? Most of the programming effort involved in the Process-Interaction modeling approach comes from keeping track of the event bookkeeping.Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Correct answer ! Question 31 3 / 3 pts modules modules modules modules modules Wrong answer ! Question 32 0 / 3 pts True False Correct answer ! Question 33 3 / 3 pts Correct answer ! Question 34 In Arena, what modules would I need to generate customer arrivals, and then have each arrival go to server A with probability 0.5 (else to server B with probability 0.5)? TRUE or FALSE? In Arena, you can use a single module to route customers to that one of four servers having the smallest queue. Which of the following modules can not be found in the Arena Basic Process template?Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM 1 / 1 pts Jackets Dawgs No answer text provided. No answer text provided. ! Jackets or Dawgs? (No excuse to make a mistake here!) Captura de Tela às 10.40.46 PM.png t_Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM t_Exam 1: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:40 PM Quiz Score: 67 out of 100 Percentage Points of the Chi-Square Distribution