The arrival of requests to a web site are independent and were measured to have an average interarrival time of 50 milliseconds. Answer the following questions:

a. What is the throughput of the web server?

b. Write down the formula for the probability distribution of the inter-arrival time of requests to the web site.

c. What is the probability that two subsequent requests will be separated from one another by more than 80 milliseconds?

d. What is the standard deviation of the inter-arrival time of requests to the web site?

e. Write down the formula for the probability distribution of the number of requests arriving to the server in a period of 100 milliseconds. f. What is the probability that more than 3 packets will be received within a 100-millisecond period of time?