(1) Consider the following continuously operating job shop. Inter arrival times of jobs are distributed as follows.

TIME BETWEEN ARRIVALS	PROBABILITY
0	0.23
1	0.37
2	0.28
3	0.12

Processing time for jobs are normally distributed with mean 50 minutes and standard deviation 8 minutes. Construct a simulation table and perform simulation for 10 new customers. Assume that when simulation begins, there is one job being processed(scheduled to be completed in 25 minutes) and there is one job with a 50 minute processing time in the queue.

(a)What is the average time in the queue for the 10 new jobs?

[(c)What is the maximum time in the system for the 10 new jobs?

TOTAL[5MKS]

(2)The random variables and are distributed as follows

Simulate 50 values of the random variable .Prepare a histogram of the resulting values, using class intervals of width equal to 3. TOTAL[5MKS]