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Tribhuvan university CSIT 2065 Syllabus Simulation and modeling Old Questions 2067

Simulation and modeling - Old Questions

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Syllabus Notes Old Questions Unit Wise Questions Question Bank

8.  Use the linear congruential method to generate a sequence of three two-digit random integers. Let X0=29, α=9, c=49 and m=100.

5 marks
Asked in 2067

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Official Answer

Given,

    X0 = 29, 

    α = 9,

    c= 49 &

    m=100

We have,

        Xi+1 = (α Xi + c) mod m

The sequence of random integers are calculated as follows:

X0 = 29

X1 = (α X0 + c) mod m = (9*29+49) mod 100 = 310 mod 100 = 10

X2 = (α X1 + c) mod m = (9*10+49) mod 100 = 139 mod 100 = 39

X3 = (α X2 + c) mod m = (9*39+49) mod 100 = 400 mod 100 = 0

    Therefore, the sequence of two-digit random integers are 29, 10, 39, 00.