A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. during any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. two hundred mice are currently infected with the virus. how many will be infected next week and in 3 weeks? (round your answers to the nearest whole number.)
At the start of the experiment, 200 mice are infected. The population is 1000 mice. At the end of week one, 30% of the infected mice will still be infected i.e. 60 mice. 40% of the original 800 uninfected mice will now also be infected, i.e., 240 mice. That leaves 300 infected mice and 700 uninfected mice.
Using the same calculations, by week two the infected mice are 90 + 280 = 370
By week three the infected mice are 111 + 252 = 363