Previous Problem List Next (1 point) A infection originated from an unknown pollution can kill 80 percent of those who are already ill and make 70 percent of the healthy population ill each month. Assume that everyone is healthy initially and the death rate of the healthy population is negligible. a. Suppose that no one who is infected can become healthy again. Find the percentage of the original population that will die in the next four months. percent b. It is found that a type of treatment can cure 10 percent of the infected population and reduce the death rate of the infected population to 20 percent each month. Find the percentage of the original population that will die in the next four months. percent c. Suppose that the population that is cured by the medicine described in part (b) will be indefinitely immune to the infection. Find the percentage of the original population that will die in the next four months. Note that in this question, you will need to introduce an additional subgroup for the population that is immune. percent Hint: It may be helpful to use MATLAB to answer these questions. If MATLAB is not available, try to search for an online matrix multiplier.