NATIONAL OPEN UNIVERSITY OF NIGERIA

UNIVERSITY VILLAGE, PLOT 91, CASDASTRAL ZONE, NNAMDI AZIKIWE EXPRESS WAY, JABI, ABUJA.
FACULTY OF SCIENCES
OCTOBER/NOVEMBER 2014 EXAMINATION

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

Q1.a    Differentiate between Modelling and Simulation. 
      b.     Enumerate and explain at least five types of Models available 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    Explain the algorithm; Congruential generator. 
b.     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. 

Q4.a    Discuss the RANECU Random Number Generator.  
b.     Write a program that can generate 20 random integer number distributed between 1 and 64 inclusive using mixed congruential method.

Q5.a    Highlight at least five properties of a Random Number Generator. 
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    Using Monte Carlo’s algorithm, approximate the value of π. 
      b.     Using suitable diagram, explain the various steps involved in the physical simulation process