# National Open University Exam Past Question – CIT 412 OCTOBER/NOVEMBER 2014 EXAMINATION

## NATIONAL OPEN UNIVERSITY OF NIGERIA CIT 412   – MODELLING & SIMULATION

14-16 AHMADU BELLO WAY, VICTORIA ISLAND LAGOS SCHOOL OF SCIENCE AND TECHNOLOGY

OCTOBER/NOVEMBER 214 EXAMINATION

CIT 412   – MODELLING & SIMULATION

INSTRUCTION: Answer any five questions.                                                                   Time: 2 HOURS

1. (a) Differentiate between Modelling and Simulation:

(b) Enumerate and explain at least five types of Models available in modelling.

1. (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.

1. (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.

1. (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.

1. (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.

1. (a) Using Monte Carlo’s algorithm, approximate the value of π.
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(b) Using suitable diagram, explain the various steps involved in the physical simulation process.

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