Problem 4 Consider hosts in an institutional network accessing content via the following network. Suppose each object is 80K bits, hosts in the institutional network generate 18 requests/sec, and hosts from other parts of the Internet (not shown) generate 100 requests/sec. Suppose that the path between Router2 and Router3 has a sufficiently high capacity but an RTT of 2 seconds. Ignore propagation delays for other links. Approximate the access link delay (including queuing and transmission delays) by 1/C-2), where is the service rate and is the arrival rate (unit: objects/sec). public Router Intenet dter4 , R. 20 origin servers nient pr 2sec ider 1 Gbps LAN R-154 Mbps Router1 1 Gbpe LAN cache institutional network a) b) c) Find the total delay for obtaining one object from the origin server to a host in the institutional Suppose that 20% of requests generated by the institutional network are served by a local cache (l.e., the cache hit rate is 0.2). Repeat a). What is the minimum cache hit rate to make the delay no greater than 100 ms