NATIONAL OPEN UNIVERSITY OF NIGERIA

UNIVERSITY VILLAGE, PLOT 91, CASDASTRAL ZONE, NNAMDI AZIKIWE EXPRESS WAY, JABI, ABUJA.
FACULTY OF SCIENCES
MARCH/APRIL 2014 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     Explain how a computer generates a sequence of random numbers, outlining other ways of Generating pseudo-random numbers. 
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 of the X0 = 4.
b.     Enumerate and discuss explicitly the various methods of generating random numbers, indicating the formulas applicable under each methods.

Q4.a     Using suitable diagram, explain the term Visual Modelling. 
b.     Enumerate and explain five types of Models available, outlining at least procedures involved in Modelling. 

Q5.a     Suppose the output of the program of example 3 is: HHTHHTTTHH and that there are two players X and Y involved in the tossing of the coin. Given that player X wins N50. 00 from player Y if a head appears and loses it to player Y if a tail appears. Determine who won the game and by how much. 
   b.     Outline and discuss the three perspective to a Data Model.

 
Q6.a     Explain the term Simulation and enumerate its objectives and its various types. 
  b.     Using suitable diagram, explain the various steps involved in the physical simulation process.