1. (40 points) Two operators, A and B, work on an assembly line. Parts are arriving at Operator A first following the interarrival times given below: The processing times for Operator A are distributed as follows: After the parts are processed by Operator A, they are transferred to Operator B, whose processing times are distributed as follows: An illustration of the flow of the part in the assembly line is given below. Manually simulate the assembly line for five-part arrivals. Assume that the system is empty when the simulation starts. Based on the simulation results, answer the following questions: a. (5 points) What is the average waiting time for parts to be processed by Operator A ? b. (5 points) What is the average waiting time for parts to be processed by Operator B ? c. (5 points) What is the probability that a part waits for processing by Operator A ? d. (5 points) What is the probability that a part waits for processing by Operator B? e. (10 points) What is the average processing time for Operator A? Please calculate the theoretical expected processing time and compare it to the average time that you obtained through the simulation model. What will happen in the long run? f. (5 points) What is the average idle time of Operator A? g. (5 points) What is the average idle time of Operator B? Please use the following random numbers for generating interarrival times and processing times