Atelephone company establishes a direct connection between two cities expecting poisson traffic with rate 30 calls/min. the durations of calls are independent and exponentially distributed with mean 3 min. inter-arrival times are independent of call durations. what is the fewest number of circuits that the company should provide to ensure that all circuits are in use with probability less than or equal to 0.05? it is assumed that blocked calls are lost (i. e., a blocked call is not attempted again). (hint: simply look at the previous video, and do a numerical trial and error to find the answer.)