Suppose that a fast-food restaurant uses two independent clerks (who worked in parallel) during the busy lunch hour. The time (in minutes) for an order to be taken and filled at the register i is an...

Extracted text: Suppose that a fast-food restaurant uses two independent clerks (who worked in parallel) during the busy lunch hour. The time (in minutes) for an order to be taken and filled at the register i is an exponential random variable with rate Hi, i = 1, 2. Suppose both servers are busy when you arrive to the system, and you are the next person in line. (That is, there is a single waiting line, and you are the next person to be served when a clerk becomes available) a) Find the probability that register 1 will be free in the next 3 minutes.