Problem 1.4 8 Question Help Dr. Tarun Gupta, a Michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. Tarun can "shoot" a dog every 2 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 5 minutes according to a Poisson distribution. Also assume that Tarun's shooting times are negative exponentially distributed. a) The probability that Tarun is idle = (round your response to two decimal places)