ISyE 6644 Midterm Test 1 Questions and Answers | Latest Update 2026/2027 | Graded A+ | Assured Pass.

ISyE 6644 Midterm Test 1 Questions and Answers | Latest Update 2026/2027 | Graded A+ | Assured Pass. 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. Correcti 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. True Correct! False Question 3 3/3 pts Original Score: 0 / 3 pts Regraded Score: 3 / 3 pts Question 5 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 Correct! 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. True False Correct! 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 Correct! False 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? a. 3/4 b. 4/7 c. 11/14 d. 2/7 e. 1/7 Correct! 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 Correct! 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? a. 2/7 b. 1/4 c.1/2 d. 1/8 Correct! e. 3/4 Question 13 3 / 3 pts If has a mean of and a variance of , find . a. -4/3 b. -2/3 c. 0 d. 2/3 Correct! e. 4/3