Question: 2. Generate 1000 pseudo random numbers using each of the multiplicative congruential generators Ri+1 (66R)mod401 with Ro-1. (a) Do these generators achieve full cycle? (b)

2. Generate 1000 pseudo random numbers using each of the multiplicative

2. Generate 1000 pseudo random numbers using each of the multiplicative congruential generators Ri+1 (66R)mod401 with Ro-1. (a) Do these generators achieve full cycle? (b) For each generator plot (Ri, Ri+1) for i {0,1, , 399). Based on these plots, which of these generators do you think is more suitable to be used in a simulation study? Explain your (c) Conduct a goodness-of-fit test for each generator using k 20 and the first 250 numbers you generated in part (b). (You can choose the significance level a as you like.) Do these generators produce pseudo-random numbers that are uniformly distributed? 2. Generate 1000 pseudo random numbers using each of the multiplicative congruential generators Ri+1 (66R)mod401 with Ro-1. (a) Do these generators achieve full cycle? (b) For each generator plot (Ri, Ri+1) for i {0,1, , 399). Based on these plots, which of these generators do you think is more suitable to be used in a simulation study? Explain your (c) Conduct a goodness-of-fit test for each generator using k 20 and the first 250 numbers you generated in part (b). (You can choose the significance level a as you like.) Do these generators produce pseudo-random numbers that are uniformly distributed

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