Cs116 - Modelling & Simulation - Quiz #4

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Cs116 - Modelling & Simulation - Quiz #4

Before taking the quiz, please read these instructions carefully: 1. Enter your name in the text box following this format: LASTNAME,INITIALS (Example: ROTOR,ACR). Failure to do so will invalidate your quiz. 2. The quiz has a total of 5 questions about Monte Carlo Simulation. 3. You are given 50 minutes to answer all questions. The quiz is open from 9:00 to 10:00 pm only. Only quizzes submitted within this allotted time will be accepted. 4. You are only given 1 chance to take the quiz. Any attempts to cheat will be traced and monitored. When caught, you get no score for the quiz. Goodluck!


Questions and Answers
  • 1. 
    Based on Practice#4 in Monte Carlo simulation, experimentation on traffic data of 500 samples with 2000 data each, what is the closest expected mean of vehicles “going straight”?
    • A. 

      998.8

    • B. 

      999.2

    • C. 

      1000.3

    • D. 

      1001.5

    • E. 

      1002.1

  • 2. 
    Still based on Practice#4, experimentation on traffic data of 500 samples with 2000 data each, what is the closest expected variance of vehicles “turning right” in that intersection?
    • A. 

      -0.05

    • B. 

      -0.09

    • C. 

      -0.73

    • D. 

      0.73

    • E. 

      0.09

  • 3. 
    • A. 

      The variance of the four data is 5.33

    • B. 

      The average of the four data is 6

    • C. 

      The variance of the first data is 10

    • D. 

      The recursive time variance of the four data is 2.45

    • E. 

      The variance of the first three data is 8.67

  • 4. 
    Using Monte Carlo experiments of more than 1000 data in tossing a fair dice, what is the closest average of the steady state expected value?
    • A. 

      2.7

    • B. 

      3.5

    • C. 

      3.9

    • D. 

      4.1

    • E. 

      4.25

  • 5. 
    Also based from the previous question, using Monte Carlo experiments of more than 1000 data in tossing a fair dice, what is the closest variance of the steady state expected value?
    • A. 

      1.96

    • B. 

      2.35

    • C. 

      2.92

    • D. 

      3.15

    • E. 

      3.25