Consider a single-server queue in which customers arrive according to a Poisson process with rate 1 per minute. The service time is according to a general distribution with mean 0.5 minutes. Assume that 50% of the time system is idle (no customer is in the system). (a) what is the average number of busy servers? (b) what is the average amount of time that the system is busy?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem