Question

Consider the ramdom variate generator for X that is based on a triangular distribution with range (2,12) and a mean of 6.

Consider the following linear congruential random number generator with Y₀ = 22

Y _i+1 = 6 * Y_i + 16(mod100) and generate 10 pseudo random numbers R1,R2,...,R10 (Using Y₁,Y₂,...,Y₁₀).

Answer 1

ramdom variate generator for X that is based on a triangular distribution with range (2,12) and a mean of 6.

1	4.650483
2	8.799232
3	5.015871
4	6.53092
5	3.971511
6	10.115121
7	7.370648
8	4.953206
9	2.661687
10	11.290734

Consider the following linear congruential random number generator with Y0 = 22

Y i+1 = 6 * Yi + 16(mod100) and generate 10 pseudo random numbers R1,R2,...,R10 (Using Y1,Y2,...,Y10).

Y₁=6*Y₀+16(mod 100)

Y₁=48.......etc

48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72 48 4 40 56 52 28 84 20 36 32 8 64 0 16 12 88 44 80 96 92 68 24 60 76 72