I want to understand that why the answers for both these scenarios are the same.
Q1. An athletic facility has 1 tennis court. Pairs of players arrive at the courts and use a court for an exponentially distributed amount of time with mean 40 minutes. Suppose a pair of players arrives and finds all courts busy and also that k other teams are waiting in queue. What is the expected waiting time to get a court?.
Q2. An athletic facility has 1 tennis court. Pairs of players arrive at the courts and use a court for an exponentially distributed amount of time with mean 40 minutes. Suppose a pair of players arrives and finds that a team just went inside and after that k other teams are waiting in queue. What is the expected waiting time to get a court?.
I feel that the answer to Q1 should be 40k + 20 and answer to Q2 should also be 40k + 40. My TA says that answer to both the questions is 40k+40 . I am not getting the reason.