Question: a. The probability that Tarun is idle = b. the proportion of time that Tarun is busy = c. The average # of dogs being

a. The probability that Tarun is idle = b. the

a. The probability that Tarun is idle =

b. the proportion of time that Tarun is busy =

c. The average # of dogs being vaccinated and waiting to be vaccinated =

d. The average # of dogs waiting to be vaccinated=

e. The average time a dog waits before being vaccinated =

f. the average amount of time a dog spends waiting in line and being vaccinated=

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 4 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 shooting times are negative exponentially distributed

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