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PSM · Biostatistics: Poisson distribution
Sample itemThe number of new cases of a rare disease reported each month in a district is being modelled. The events are rare, occur independently and have a small constant average rate. Which probability distribution is appropriate?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. Poisson distribution
The Poisson distribution describes the number of rare, independent events occurring in a fixed interval of time or space with a constant average rate. The normal distribution is for continuous measurements that cluster around a mean. The t distribution is used for means of small samples.
Option by option
A. Uniform distribution
A uniform distribution gives equal probability to all outcomes, which does not fit rare events.
B. Normal distribution
The normal distribution models continuous measurements, not counts of rare events.
C. Student's t distribution
The t distribution is a sampling distribution for means, not for counts of events.
D. Poisson distribution (correct)
Correct. Counts of rare independent events over a period follow a Poisson distribution.
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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