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Princess Nora Bint AbduRahmane University College of computer and information sciences Network Depertment Midtearm2 Modeling and simulation(NET361) Exam duration: One hour. Full2013 Full2013 Student Name Student _ID Section No Searial NO Question1 Answers: 1 2 3 4 5 6 7 8 Question2 Answers: 1 2 3 4 5 6 7 8 Question1: Fill in the blank with the correct answer based on the definitions and theories terms discussed in class: [4 marks each , 0.5 each] 1) Parallel and distributed simulation a. Run the different break up parts simultaneously. b. Run the different break up parts sequentially. c. Run the different break up parts one after another. d. Run the different break up parts in different time. 2) Y a1 x1 a2 x2 , E ( y ) a. a1 E( x1 ) a2 E( x2 ) b. E(a1 x1 ) E(a2 x2 ) E( x1 ) E( x2 ) d. None of the above c. 3) Poisson Probability Distribution: a. Consider a discrete random number. b. Consider a continuous random number. 4) In Poisson Probability Distribution, whene a. E ( x1 ) = 1 b. E ( x1 ) =0 c. E( x1 ) =𝜆 d. E( x1 ) = x1 5) The popularity of ………. is because of the “memory-less” property: a. Poisson Distribution b. Exponential Distribution c. Normal Distribution d. Uniform Distribution 6) An important uniform distribution is that when: a. a=1 ,b=0 b. a=0, b=1 c. a=0 , b=0 d. a=1 ,b=1 7) Random Number Generation a. Uniformity b. dependence c. Efficiency d. a & c e. b & c 8) standard normal distribution have : a. = 1, and 2 = 0 b. = 0, and 2 = 1 c. = 0, and 2 = 0 d. = 1, and 2 = 1 Question2: Put true (√ ) or false (× ) mark at the end of the following statements with error correction: [4 marks ,0.5 each] 1. Break up model by support functions means assign different parts of model to different processors ( F ). Decompose the model 2. Web-based simulation is central simulation engine, submit “jobs” over the web( T ). 3. Normal distribution is the simplest distribution ( F ) Uniform. 4. Pseudorandom sequences can't reproduce exactly the same numbers ( F ). 5. Random Number Generator used to describe the procedure and parameters used to generate the U(0,1) observations. F 6. Pseudorandom sequences are easier to produce than a genuine random sequences ( F ). 7. Pseudorandomness useful for testing and fixing software ( 8. The Triangular Distribution is descript distribution ( F ). T ). Question3: Generate 4 random number if the Seed = 5197 ? Ex1: X0 = 5197 (seed) = 27008809 ==> R1 = 0.0088 R1 squar ==> R2 = 0.0077 R2 squar = 00005929 ==> R3 = 0.0059 = 00007744 R3 squar = 00003481 ==> R4 = 0034 Question4: Customer # A.T S.T (arrival time) (service time) 1 0 2 2 3 1 3 6 4 Start ST (start service time) W.T (waiting time) End S.T (end service time) 4 8 3 5 9 1