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NATIONAL OPEN UNIVERSITY OF NIGERIA

UNIVERSITY VILLAGE, PLOT 91, CASDASTRAL ZONE, NNAMDI AZIKIWE EXPRESS WAY, JABI, ABUJA.
FACULTY OF SCIENCES
JUNE/JULY 2013 EXAMINATION


COURSE CODE:                    CIT 412    
COURSE TITLE:                    Modelling and Simulation
TIME ALLOWED:                    2 Hours
INSTRUCTIONS:                    Answer any Five (5) Questions

Q1.a    Explain the following terms: 
 (i)    Modelling         (ii)     Model         (iii)     Simulation 
     b.     Enumerate and explain five types of Models available, outlining at least five procedures involved in modelling.

 

Q2.a    Highlight the steps involved in modelling. 
      b.    Write a QBASIC program to simulate the tossing of a fair coin 10 times. 
The program displays a H when a Head appears and a T when a Tail appears.    

                      
Q3.a    Briefly explain the Congruential Methods. Using the Congruential method, generate at least eight sets of random numbers, where m = 8, a = 5, c = 7 and the Seed Xo = 4. 
b.     Enumerate and discuss explicitly the various methods of generating random numbers; indicating the formulas applicable under each method.

 

Q4.a    Explain the Monte Carlo’s Algorithm, outlining the steps involved in deriving an algorithm 
     b.     Enumerate and discuss the areas of application of the Monte’ Carlo Method.

 

Q5.a    Briefly explain when a probability is: 
         (i)     Jointly         (ii)     Mutually Exclusive         (iii)     Conditional 
b.     Develop a function procedure called RAND in QBASIC which generates a random number between 0 and 1 using mixed congruential method. Assume a 16-bit computer.

 

Q6.a    Explain the term Simulate Enumerate its objectives and its various types, clearly explaining at least two of its types. 
     b.     Using suitable diagram, explain the various steps involved in the physical simulation process.
 


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