Problem # 1 (30 points): Suppose within your Web browser you click on a link to obtain a web page Suppose that the IP address for the associated URL is not cached in your local host, so that a DNS look- up is necessary to obtain the IP address. Suppose that two (2) DNS servers are visited before your host receives the IP address from DNS; the successive visits incur an RTT of RTT1 and RTT2. Further suppose that the Web page associated with the link contains exactly one object; the base HTML file. Let RTTo denote the RTT between the local host and the server containing the object. Assuming /rans transmission time of the base HTML file, find a. (6 points) The amount of time that elapses from when the client clicks on the link until the client receives the base HTML file b. Suppose the base HTML file indexes two (2) more objects. The first indexed object resides on the same server hosting the base HTML file. The second indexed object resides on a different server than the server hosting the base HTML file, and the IP address of such a server is already cached in your local host. Assume that RTTo denotes the RTT between the local host and each server containing an object. Using the same assumptions used in part (a) for the base HTML file, and assuming the transmission time for each indexed object is /rans, find the total amount of time that elapses from when the client clicks on the link until the client receives all objects (including the base HTML file) with i. (6 points) nonpersistent HTTP with no parallel TCP connections ii. (6 points) nonpersistent HTTP with parallel TCP connections (assume that parallel TCP connections can be made to different servers at the same time) iii.(6 points) persistent HTTP without pipelining (6 points) persistent HTTP with pipelining