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PSM · Epidemiology
Sample itemIf the basic reproduction number (R0) of an infection is 4, roughly what proportion of the population must be immune to achieve herd immunity?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 75%
The herd immunity threshold is 1 − 1/R0. With R0 = 4 it is 1 − 0.25 = 0.75, or 75%. Higher R0 requires a higher proportion immune, which is why measles needs about 95% coverage.
Option by option
A. 75% (correct)
Correct. 1 − 1/4 = 0.75.
B. 25%
25% is 1/R0, which is the fraction that can remain susceptible, not immune.
C. 90%
90% would correspond to R0 = 10.
D. 50%
50% would correspond to R0 = 2.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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