A biologist doing an experiment has a bacteria population cultured in a Petri dish. After measuring, she finds that there are 45.2 million bacteria infected with the zeta-virus and 26.6 million infection-free bacteria. Her theory predicts that 70% 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 60% 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 2 hour(s). [Round to 3 significant figures.] a) 30.4 million b) 39.7 million c) 24 million d) 47.8 million
Show transcribed image text A biologist doing an experiment has a bacteria population cultured in a Petri dish. After measuring, she finds that there are 45.2 million bacteria infected with the zeta-virus and 26.6 million infection-free bacteria. Her theory predicts that 70% 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 60% 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 2 hour(s). [Round to 3 significant figures.] a) 30.4 million b) 39.7 million c) 24 million d) 47.8 million