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February 1, 2023

In the year 2005, the population of Idaho, is estimated

In the year 2005, the population of Idaho, is estimated to be 80. By the end of 2005, the cumulative incidence of measles in this community was estimated to be 10%.
No deaths were reported in the following year. If the basic reproduction number of measles in this community is 5, what proportion of this community will have to be vaccinated to achieve herd immunity in 2006?
This question requires two steps. The effective reproduction formula will need to be used. The answer cannot just be 80%.

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