Problem\# 3: [20 Pts] Consider the scenario presented in the Figure 1, where public Internet is connected to institutional network through a 15 Mbps access link. Consider the average object size is 90,000 bits and the institution's browsers make requests at a rate of 25 per second. Also, consider that the amount of time taken to receive a response after router (R1) at internet side makes the HTTP request is 2 seconds on average and delay incurred in sending and receiving objects to/from R0 in Institutional LAN is negligible. If we have a way to model the average access delay as 1, where is the arrival rate of the objects to the access link, and is the average time to send an object over the access link. Now answer the following: a. What is the total average response time? Here we define the response time as the amount time taken from making a request from the browser and receiving the response at the browser. Here you can assume that "no cache" is maintained by the router/proxy. b. Consider that there is a cache (in form of HTTP Proxy) is installed in Institutional Network that has hit rate of 0.6. Here is an example to understand the hit rate - if a browser makes a request to "example.com", there is a 60% chance that it can be served from the proxy's cache, but for 40% of the time, the request is forwarded to the origin server. In this situation, what would be the new total response time for any HTTP request