poisson distribution
2011-04-03 7:49 pm
Mushrooms are randomly distributed in a large field. The number of mushrooms per square metre can be modelled by a poisson distribution with mean 0.5. To have probability 0.95 of finding at least one mushroom in the field, how large should be the radius of a circular region to be searched?
回答 (1)
2011-04-03 8:51 pm
✔ 最佳答案
Step 1 : Find out the required λe^(-λ) = 1 - 0.95 => λ = 2.9957
Step: 2
mean no. of mushrooms per m^2 = 0.5
mean no. of mushrooms per (2.9957/0.5 = 5.9914) m^2 = 2.9957
(pi)r^2 = 5.9914 => r = 1.381
So, the radius of a circular region should be at least 1.381 m
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https://hk.answers.yahoo.com/question/index?qid=20110403000051KK00386