Question

A infection originated from an unknown pollution can kill 60 percent of those who are already ill and make 60 percent of the healthy population ill each month. Assume that everyone is healthy initially and the death rate of the healthy population is negligible.

Only b and c

(1 point) A infection originated from an unknown pollution can kill 60 percent of those who are already ill and make 60 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. 82.08 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 50 percent each month. Find the percentage of the original population that will die in the next four months. 64 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. 62.75 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.

Answer 1

b. It is found that treatment can cure 10% of the population and reduce the death rate to 50%

Assume total Population is 100

	Diseased	Not Diseased	Died from diseased	Remaining Population
1st Month	50	50	25	Diseased 25 Not Diseased 50 Total of 75
2nd Month	50	25	25	Diseased 25 Not Diseased 25 Total of 50
3rd Month	37.5	12.5	18.75	Diseased 18.75 Not Diseased 12.5 Total of 31.25
4th Month	25	6.25	12.5	Diseased 12.5 Not Diseased 6.25 Total of 18.75

Total number of people remain after 4 months is 18.75 people from 100 people.

It is 18.75%

So, 81.25% of people will die in 4 months

Answer - 81.25%

C.

Here the exception is cured people will have immunity to infection.

Assume total Population is 100

	Diseased	Not Diseased	Died from diseased	Remaining Population
1st Month	50	50	25	Diseased 25 Not Diseased 50 (10 immuned) Total of 75
2nd Month	45	30	22.5	Diseased 22.5 Not Diseased 30 (20 immuned) Total of 52.5
3rd Month	27.5	25	13.75	Diseased 13.75 Not Diseased 25 immuned Total of 38.75
4th Month	13.75	25	6.875	Diseased 6.875 Not Diseased 25 Total of 31.875

Total number of people remain after 4 months is 31.875 people from 100 people.

It is 31.875%

So, 68.125% of people will die in 4 months

Answer -68.125%