We can define the average data rate to be the size of the file transferred divided by the time it takes to transfer the file. Of course, this data rate will depend on the size of the file. Suppose that a client connects to a server and uploads data to the server, where the upload occurs as soon as the connection is established. Also, assume that MSS=1500B, the initial window size is 1 MSS, the maximum receiver window size is 20KB (and the buffer is always emptied as soon as data arrives), RTT is 100ms, SSThresh=40 KB, and there is a single 100Mbps link between the source and destination. Required:
a. What is the data rate when transferring a file of size 1500B?
b. What is the data rate when transferring a file of size 15000B?
c. What is the data rate when transferring a file of size 150000B?

In any one-minute interval, the number of requests for a popular web page is a poisson random variable with expected value 240 requests. (a) a web server has a capacity of requests per minute. if the number of requests in a one-minute interval is greater than the server is overloaded. use the central limit theorem to estimate the smallest value of for which the probability of overload is less than 0.035. note that your answer must be an integer. also, since this is a discrete random variable, don't forget to use "continuity correction". = 268 (b) now assume that the server's capacity in any one-second interval is ⌊/60⌋, where ⌊⌋ is the largest integer ≤ (this is called the floor function.) for the value of derived in part (a), what is the probability of overload in a one-second interval? this time, don't approximate via the clt, but compute the probability exactly.