Simulation and modeling - Old Questions

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.

Given,

    X₀ = 29, 

    α = 9,

    c= 49 &

    m=100

We have,

        X_i+1 = (α X_i + 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