Show transcribed image text 5. Birds arrive at four bird feeders according to a Poisson process with rate one bird per minute. If all feeders are occupied, an arriving bird leaves, but otherwise it occupies a feeder and eats for a time that has an exponential distribution with mean 1 min. Consider this as a Markov chain where a "state" is the number of occupied feeders. The rate diagram is given below. (a) Explain the rates in the diagram. (b) Find the generator G. (c) If three feeders are occupied, what is the expected time until this changes? 1/4 minute (d) If all feeders are occupied, what is the probability that a bird arrives before a feeder becomes freei? 1/5 3 2 4