Abiologist doing an experiment has a bacteria population cultured in a petri dish. after measuring, she finds that there are 11 million bacteria infected with the zeta-virus and 5.2 million infection-free bacteria. her theory predicts that 50% of infected bacteria will remain infected over the next hour, while the remaining of the infected manage to fight off the virus in that hour. similarly, she predicts that 80% of the healthy bacteria will remain healthy over the hour while the remaining of the healthy will succumb to the affliction modeling this as a markov chain, use her theory to predict the population of non-infected bacteria after 3 hour(s).