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COURSE CODE: CIT 412
COURSE TITLE: Modelling and Simulation
TIME ALLOWED: 3 Hours
INSTRUCTIONS: Answer any Five (5) Questions in all
Q1.a Enumerate six (6) properties of a good Random number generator. [6 marks]
b. Define the below graphs and show the data distribution of the below table in the
bar graph and pie chart
• Bar graphs
• Double bar graphs
• Histograms and
• Pie Charts use port. [7 marks]
NAME VALUE
Olu 23
Ade 32
Ope 51
Tunde 67
James 12
c. State four types of Simulations [4 marks]
d. Highlight the advantage of using Model [3 marks]
Q2.a Briefly explain what is meant by a Model. [5 marks]
b. Suppose we have a sample with the following 6 observations: 4, 5, 7, 2, 1, 2. Show your workings by calculating the Measures of Central Tendency, Range and
Standard Deviation as Measures of Variation. [10 marks]
c. Explain Queuing theory. [5 marks]
Q3.a What is a Random Number? [3 marks]
b. State the Theorem of Multiplication of Probabilities. [9 marks]
c. Using Mixed Congruential formula, suppose m = 8, a = 5, c = 7 and X0 (seed) = 4,
generate a random sequence of integer numbers in a tabular form. [8 marks]
Q4.a Discuss Poisson Process. [6 marks]
b. Why simulation language? [10 marks]
c. What is the chances of generating any digits between 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 as the nth drawn number from the given numbers 0-9 irrespective of all the
preceding digits in the recorded sequence of Pseudorandom Number Generation. [4 marks]
Q5.a Discuss Monte Carlo algorithm and highlight the methods used by the algorithm. [7 marks]
b. Explain in detail the queuing disciplines and its four (4) methods/disciplines. [10 marks]
c. Write a simple QBASIC program that will stimulate the tossing of two dice and
display the value obtained after each toss, and the total value of the dice. [3 marks]
Q6.a Write note on the factors of evaluating a model. [6 marks]
b. Discuss how Congruential generator Algorithm generates random numbers. [4 marks]
c. Define any five (5) common models. [10 marks]
Q7.a Differentiate between Physical and Mathematical Models [10 marks]
b. What is a Statistical Distribution? [3 marks]
c. Enumerate seven (7) Application areas of Monte Carlo Met [7 marks]
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You can now use you matric number to login as your username and password in a lowercase.
https://elearn.nouedu2.net/login/
Note that you are to change your passw...
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