Download Final Exam Simulation ISYE 6644 and more Exams Engineering in PDF only on Docsity!
Final Exam Simulation ISYE 6644lOMoARcPSD| This attempt took 86 minutes.
Question 1 3 / 3 pts Let's use Newton's method with to find an approximate solution to. After 2 iterations, what is the approximate value of? Use 3 decimal places. a. 1.410Correct! b. 1. c. 1. d. 1. e. 1.
Question 2 3 / 3 pts Suppose and have joint p.d.f.. Find
. a. 1/ b.1/ Correct! c. 3/ d.2/ e. 1
Question 3 3 / 3 pts YES or NO? Consider again the joint p.d.f. from the previous question independent random variables? for , for ,. Are and
Correct! a.Yes b.No
Question 4 3 / 3 pts If and are i.i.d. random variables, find
. a. 0 b. 10 c. 20 Correct! d. 52 e. 208
Question 5 3 / 3 pts If and a. 0 b. 1/4Correct! c. 1/ d. 1 e. 2 are i.i.d. random variables, find.
are i.i.d. , with , what is the maximum likelihood estimator for?
Question 10 3 / 3 pts Suppose and are i.i.d. , and let. Find. a. 0.16 Correct! b.0. c. 0. d.0. e.1.
Question 11 3 / 3 pts Suppose you observe six i.i.d. realizations. What's the maximum likelihood estimate of? a.-1.10Correct! b.-0. c. 0 d.0. , and , , , , , and a. 1/ Correct! b. 1/5. c. 5. d. 6 e. 8. If 3 / 3 pts Question 9
e. 10.
Final Exam Simulation ISYE 6644lOMoARcPSD| e. 1.
Question 12 3 / 3 pts are i.i.d. , what is the distribution of?
Question 13 3 / 3 pts Consider a nonhomogeneous arrival process with rate function Find the probability that there will
be at most three arrivals before time.
a.0. b.0. c. 0.58Correct! d.0. e.0.
for
Final Exam Simulation ISYE 6644lOMoARcPSD|
Question 16 3 / 3 pts Suppose are i.i.d. from an distribution. Use the Central Limit Theorem to find an
approximate distribution of the
summation and then calculate for me. a. 0.27 b.0.25Correct! c. 0. d.0. e.1.
Question 17 3 / 3 pts
Suppose are i.i.d. from an distribution. What is the exact distribution of the summation
Question 18 3 / 3 pts
TRUE or FALSE? An unbiased estimator does not necessarily have the lowest associated Mean Squared Error
(MSE) among all estimators. Correct! True
False
Question 19 3 / 3 pts TRUE or FALSE? When conducting a goodness-of-fit test, a large value of the test statistic (which can be calculated from observed data) indicates a bad fit. Correct! True False
Question 20 3 / 3 pts TRUE or FALSE? Even though the exponential distribution is a special case of the gamma distribution, it is still possible to reject a goodness-of-fit test for the gamma, yet fail to reject it for the exponential, as the number of unknown parameters to be estimated may be different. Correct! True False
Question 21 3 / 3 pts TRUE or FALSE? The Thinning Algorithm is typically used to generate a sequence of independent Bernoulli arrivals. True Correct!
False
Question 25 3 / 3 pts TRUE or FALSE? In ARENA, two of the seize selection rules for resource sets are 'cyclical' and 'specific member'. Correct! True False
Question 26 3 / 3 pts Consider a particular data set of 10000 stationary waiting times obtained from a large queueing system. Suppose your goal is to get a confidence interval for the unknown mean. Would you rather use (a) 10 batches of 1000 observations or (b) 1000 batches of 10 observations each? Correct! a.10 batches of 1000 observations b. 1000 batches of 10 observations each
Question 27 3 / 3 pts Suppose we're conducting a goodness-of-fit test to determine whether or not 100 i.i.d. observations are from a Bieber distribution. (The Bieber has a very, very ugly-looking p.d.f.) Suppose, after we divide the observations into various intervals and deal with the various unknown parameters, it turns out that the test has 6 degrees of freedom. Further suppose that we calculate a g-o-f statistic of. for your
Final Exam Simulation ISYE 6644lOMoARcPSD| Will we ACCEPT (i.e., fail to reject) or REJECT the null hypothesis of the Bieber distribution? Use level of significance test. Correct! a.Accept (i.e., fail to reject) b.Reject
Question 28 3 / 3 pts Consider the following 12 observations arising from a simulation: Use the method of batch means to calculate a two-sided 90% confidence interval for the mean. In particular, use four batches of size three. a.[121.99, 221.01] b.[146.74, 196.26] c. [148.30, 194.70] Correct! d.[151.58, 191.42] e.[135.04, 207.96]
Question 29 3 / 3 pts Which of the following is best suited for a Single-Stage Normal means procedure? a.Finding the car model that is the most popular.Correct! b.Identifying which inventory policy produces the highest average profit. c. Finding the vaccine that gives the best probability of providing immunity. d.Determining which stock portfolio has the highest chance of a profit. e. Both (c) and (d).
Final Exam Simulation ISYE 6644lOMoARcPSD| Correct! a.veDa olGansdm b.tsuJni ibreBe
lOMoARcPSD| 5/21/25, 12:48 AM Final Exam: Simulation - ISYE-6644-OAN/O01/AO
