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ISYE 6644 Simulation 2 Results, Exams of Engineering

University of Houston (UH)Engineering

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Typology: Exams

2025/2026

Available from 04/21/2026

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ISYE 6644 Simulation ACTUAL Exam 2 Results 2025 NEW UPDATE 2025-— GT Exam 2 Results Score for this quiz: 80 out of 100 Submitted Mar 30 at 11:39pm This attempt took 108 minutes. Question 1 0/2.5 pts Suppose X and Y are continuous random variables with joint p.d.f. f(z,y) = 12zy(1 —2),0 -1) Correct! 1 3 5 6 16 Question 18 2.5/2.5 pts TRUE or FALSE ? The Arena Call Center model discussed in class featured tech support servers who specialized in different products. Correct! True False Question 19 2.5/2.5 pts TRUE or FALSE ? The Arena Call Center model was organized into submodels. Correct! True a Question 20 0/2.5 pts In Arena, which of the following are possible options to travel between STATION modules? Resource Transporter Conveyor You Answered (b) and (c) only Correct Answer (a) and (b) and (c) Question 21 2.5 /2.5 pts Consider the linear congruential generator X;.1 = (5X; +3)mod(12). Using Xp = 0, calculate the 64th integer X¢4. Correct! 0 Question 22 2.5/2.5 pts Regarding Linear Congruential Generators (LCG’s), select the statement that is correct. (a) The midsquare generator is an example of a good LCG. Correct! (b) Some popular LCG’s have cycle lengths that are over 21%. (c) It is not possible to test LCGs for independence and uniformity. (d) Most LCG's in use produce numbers that are truly iid Unif(0,1). ( e) The RANDU generator is an example of a good LCG. Question 23 0/2.5 pts Consider our desert island generator X;41 = 16807X; mod(2*! — 1). If Xo = 123456789, find the value of the second PRN, U2. 0575 0.9876 You Answered 0.8295 0.2184 Correct Answer 0.9563 Question 24 2.5/2.5 pts Suppose that a Tausworthe generator gave you the series of six bits 101111. If you use all of these bits, what Unif(0,1) random number would that translate to ? 0.370 Correct! 0.734 0.859 0.922 0.984 Question 25 2.5/2.5 pts Consider the following sequence of PRN’s. 049 043 O72 063 O83 O47 003 O12 O17 O23 O95 0.98 How many runs above and below the mean (0.5) does this sequence have? (a) 2 (b) 3 Correct! (4 (d) 5 (e) 6 Type Ill Error Type O Negative Error Type AB Positive Error Question 29 2.5/2.5 pts Suppose we sample 1000 PRNs and we wish to conduct a x? goodness-of-fit test at level = 0.01 @ of the hypothesis that the numbers are Unif(0,1). Here are the results, divided into equal-probability intervals under Hg [0.00, 0.20] (0.20, 0.40] (0.40, 0.60] (0.60, 0.80] (0.80, 1.00] Use the tabled results to find the value of the g-o-f statistic, x (a) 1.96 (b) 12.25 Correct! (c) 20.25 (d) 40.50 (e) 200 Question 30 2.5/2.5 pts Suppose you are doinga x? goodness-of-fit test with level of significance @ = 0.05 and k =10 cells. Specifically, you are testing to see if your data is Unif(0,1); thus, there are no parameters to estimate, and so your g-o-f statistic x? has k-1 degrees of freedom. If it happens that 54 = 12.00, do weACCEPT (i.e., fail to reject) or REJECT the null hypothesis of uniformity? Correct! ACCEPT REJECT (co) 0.231 (d) 1.96 (e) 3.394 Question 34 2.5/2.5 pts Name That Distribution! If Uz and U2 are i.i.d. Unif(0,1), what’s the distribution of 2(Uz - U2) ? (a) Unif(-2, 2) (b) Unif(0, 4) (c) Tria(-1, 0, 1) Correct! (d) Tria(-2, 0, 2) (e) Tria(0, 2, 4) Question 35 2.5/2.5 pts Name That Distribution ! If Z is Nor(0, 1), with c.d.f. B(z), what's the distribution of 2@(Z) +1 ? (a) Unit(0, 1) (b) Unit(0, 2) Correct! (c) Unif(1, 3) (d) Nor(0, 2) (e) Nor(0, 4) (f) Tria(-1, 0, 1) Question 36 2.5/2.5 pts From the list of convolutions below, select the statement that is incorrect. (a) The sum of ki.i.d. Bern(p) RVs has a Bin(k, p) distribution. (b) The sum of 5 i.i.d. Exp(3) RVs has an Erlang distribution with mean 5/3. Correct! (c) The sum of 5i.i.d. Pois(3) RVs is Exp(15).