In an access switched data network, application user may request a connection to be setup for a data transfer. When a call-setup request arrives, an access network node will determine whether to admit the call or reject the call based on resources availability. If the request is
rejected, application user may attempt call request retries up to 10 times before it gives up. Assume that each call-setup request has a probability of 0.02 of being accepted and call request attempts are independent.
(a) What is a probability that the call request is granted at the first attempt?
(b) What is a probability that the first call accepted is the fourth attempt?
(c) What is the probability that it requires more than five attempts for application user to connect?
(d) What is the probability that application user is finally give up?
(e) What is the mean number of call attempts needs to connect?