Question: Homework #3 1. Consider the multiplicative congruential generator under the following circumstances: (a) Xo = 7, a = 11,m=16 (b) Xo = 8, a =

Homework #3 1. Consider the multiplicative congruential generator under the following

Homework #3 1. Consider the multiplicative congruential generator under the following circumstances: (a) Xo = 7, a = 11,m=16 (b) Xo = 8, a = 11, m-16 (c) Xo = 7, a = 7, m 16 (d) Xo = 8, a = 7, m = 16 Generate enough values in each case to complete a cycle. What inference can be drawn? Is maximum period achieved? 2. Test the following sequence of numbers for uniformity and independence (i-1,1-3). 594 .928 .515 .055 .507.351.262 .797.788 442 097 .798 .227.127 474 .825.007 .182 .929 .852 (a) K-S test with = 0.05 (b) Chi-square test with -0.05 (Hint: use n-4 for Chi-Square test so that El > (c) Autocorrelation test 5)

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