CAIE S2 2006 November — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2006
SessionNovember
TopicPoisson Distribution
TypeScaled time period sums

4 In summer, wasps' nests occur randomly in the south of England at an average rate of 3 nests for every 500 houses.
  1. Find the probability that two villages in the south of England, with 600 houses and 700 houses, have a total of exactly 3 wasps' nests.
  2. Use a suitable approximation to estimate the probability of there being fewer than 369 wasps' nests in a town with 64000 houses.