Exercise 1: The Dollar Black Hole Bank has two counters handled by two employees: Maya and Sami. Although Maya is friendlier, her service time is not consistent. It is exponentially distributed with a mean of 3 minutes. Sami, on the other hand, always takes 5 minutes per client. In each hour, 13 clients arrive at Maya's counter and 8 clients arrive at Sami's counter (both Poisson distributed). 1. Which counter would you choose to minimize the total time you spend at the bank? Explain. 2. How many seats should the bank allocate for waiting clients if the arrival rates change to 18 clients per hour at Maya's counter and 10 per hour at Sami's counter? Exercise 2: Sami is playing Warzone (Internet games) on his computer. He is connected to Ogero DSL through a link with a transmission rate of T bits/s. Packets arrive to this link in a Poisson distribution with a rate of 200 messages per second. The messages are not of equal size, they have an average length of 1500 bytes exponentially distributed. Messages are queued in a first come first served way if the link is busy. In order for the game to be played properly (online) the average time of a packet in the system should not exceed 100ms. Determine T