a) i. With your own understanding, explain the Mid-Square method of generating Pseudo-Random Numbers and with...

 

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a) i. With your own understanding, explain the Mid-Square method of generating Pseudo-Random Numbers and with your understanding in the explanation, generate 5 CR (10 marks) Pseudo-Random Numbers from the seed mumber 2714 b) Use the linear congruential method to generate a sequence of 5 random numbers with given seed of 27, increment 43 and constant multiplier 17, modulus 100 EV (5 marks) c) i. If an MM/1 queue has utilization of 90%, what do you think will be the average queue length and the average response time? If the arrival rate is 100 jobs per second ii. If an M/D/1 queue has utilization of 80% do you expect its mean queue length and response time to be less, same, or greater than that of an M/M/1? Explain your AN (5 marks) answer. a) i. With your own understanding, explain the Mid-Square method of generating Pseudo-Random Numbers and with your understanding in the explanation, generate 5 CR (10 marks) Pseudo-Random Numbers from the seed mumber 2714 b) Use the linear congruential method to generate a sequence of 5 random numbers with given seed of 27, increment 43 and constant multiplier 17, modulus 100 EV (5 marks) c) i. If an MM/1 queue has utilization of 90%, what do you think will be the average queue length and the average response time? If the arrival rate is 100 jobs per second ii. If an M/D/1 queue has utilization of 80% do you expect its mean queue length and response time to be less, same, or greater than that of an M/M/1? Explain your AN (5 marks) answer.