Answer to Question #200870 in Statistics and Probability for Anaya

Question

1.     Generate 4 random numbers by using linear congruenital generator.Use X₀ = 21, a= 17, c=43, m=105.

Answer 1

$X_0=21.$

$X_n=(aX_{n-1}+c)\;mod \;m$.

$X_1=(17*21+43)\;mod\;105=400\;mod\;105=85.$

$X_2=(17*85+43)\;mod\;105=1488\;mod\;105=18.$

$X_3=(17*18+43)\;mod\;105=349\;mod\;105=34.$

$X_4=(17*34+43)\;mod\;105=621\;mod\;105=96.$