alleryStart learning →A bakery puts an average of 12 loaves of bread on its shelf every 30 minutes. What is the average number of loaves put on the shelf in a five-minute interval?
A12 loaves
B6 loaves
C0.4 loaves
D2 loaves
Answer & Solution
Correct answer: D. 2 loaves
1. The rate is 12 loaves per 30 minutes.
2. Scale that rate to a 5-minute window: (5/30)(12) = 2.
3. So the average number of loaves in five minutes is 2, which becomes the μ for a Poisson model of that interval.
4. Option B uses a 15-minute scaling by mistake, and option B forgets to rescale the interval at all.
_Source: OpenStax Introductory Statistics (CC BY 4.0), Ch 4 "Discrete Random Variables", section 4.6 Poisson Distribution_
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