Batman has gone out for a night of crime fighting to an alley frequented by criminals. Criminalsarrive to the alley according to a Poisson Process with rate of 1 per 5 minutes. Using standard badguys techniques, they only attack the Dark Knight one at a time. It takes our hero an exponentialamount of time to knock each one out with an average of 1 minute. Due to the size of the alley, there can be at most 5 conscious criminals. Develop a CTMC model for number of conscious badguys.