OCR S2 — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
TopicPoisson Distribution
TypeScaled time period probability

1 In a study of urban foxes it is found that on average there are 2 foxes in every 3 acres.
  1. Use a Poisson distribution to find the probability that, at a given moment,
    (a) in a randomly chosen area of 3 acres there are at least 4 foxes,
    (b) in a randomly chosen area of 1 acre there are exactly 2 foxes.
  2. Explain briefly why a Poisson distribution might not be a suitable model.