Jobs arrive to a server as a Poisson process with a mean time between arrivals of 7.6 minutes. The service time is distributed exponentially with a mean time of 5.2 minutes. a) Find the long-run probability that the server is vacant. (10 pts) b) Find the long-run expected number in the system. (10 pts) c) Find the long-run average waiting time in the queue. (

Aclothing store has just advertised at a bargain price, that a customer tries on a t-shirt is 0.40. a new range of t-shirts. the probability if a customer tries a t-shirt, the probability that they will buy it is 0.70 while if a customer does not try on a t-shirt, the probability that they will buy it is 0.15. a customer has just bought a t-shirt. find the probability that the customer did not try on the t- shirt.