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Dr. Tarun Gupta, a Michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. Tarun can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 6 minutes according to a Poisson distribution. Also assume that Tarun’s vaccination (service) times are negative exponentially distributed. Compute the following

1. The probability that Tarun is idle.                             [ Select ]                       [".12", ".35", ".5", ".25"]          

2. The average number of dogs being vaccinated and waiting to be vaccinated.                            [ Select ]                       ["7", "4", "1", "2"]      

3. The average time a dog waits before getting vaccinated.                             [ Select ]                       [".15", "4.7", "3", "4"]         minutes

4. The average amount of time a dog spends waiting in line and being vaccinated.                            [ Select ]                       ["1.2", "6", "10", "3"]         minutes