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ISYE 6644 OH Exam 1 Solutions – Spring 2026 - Georgia Institute Of Technology Questions & Answers Solved 100% Correct!!

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Question 1 TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers showing up is less than the service rate of the single-server, then the queue will not explode to infinity. Question 1 TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers showing up is less than the service rate of the single-server, then the queue will not explode to infinity. Solution: If the arrival rate is less than the service rate the queue will get cleaned out eventually. So, the answer is TRUE. □ Question 2 Consider a family that has 2 children. Assume that P(kid is a boy) = 1Τ3 and P(kid is a girl) = 2Τ3, and that the genders of the 2 kids are independent. What is the probability that both kids are girls given that we know at least 1 of them is a girl? (a) 1/16 (b) 1/8 (c) 1/5 (d) 1/4 (e) 1/2 Question 2 Consider a family that has 2 children. Assume that P(kid is a boy) = 1Τ3 and P(kid is a girl) = 2Τ3, and that the genders of the 2 kids are independent. What is the probability that both kids are girls given that we know at least 1 of them is a girl? (a) 1/16 (b) 1/8 (c) 1/5 (d) 1/4 (e) 1/2 What is this question asking? Sample Space 4Τ9 Pr = 2Τ3 ∗ 2Τ3 2Τ9 2Τ9 Pr = 1Τ3 ∗ 2Τ3 1Τ9 Pr = Pr = 2Τ3 ∗ 1Τ3 1Τ3 ∗ 1Τ3

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ISYE 6644 OH Exam 1 Solutions – Spring 2026 - Georgia Institute Of

Technology Questions & Answers Solved 100% Correct!!




Exam 1 Solutions
ISYE6644 – Spring 2026
TA: Brian Kearney

,Slides and Solutions from ISYE6644 Course materials and Solution sets

,Question 1
TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers
showing up is less than the service rate of the single-server, then the queue will not
explode to infinity.

, Question 1
TRUE or FALSE? In a single-server queue simulation, if the arrival rate of customers
showing up is less than the service rate of the single-server, then the queue will not
explode to infinity.




Solution: If the arrival rate is less than the service rate the queue will get cleaned
out eventually.

So, the answer is TRUE. □

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