A dog just had three puppies who jump in and out of their box. A puppy spends an avg of 10 minutes (exponentially distributed) in box before jumping out. Once out of the box, a puppy spends avg of 15 minutes (exponentially distributed) before jumping back in the box.
At any given time, determine the probability that more puppies will be out of the box than will be in the box? On the average, how many puppies will be in the box?