Edexcel S2 2006 June — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2006
SessionJune
TopicPoisson Distribution
TypeExplain or apply conditions in context

3. An estate agent sells properties at a mean rate of 7 per week.
  1. Suggest a suitable model to represent the number of properties sold in a randomly chosen week. Give two reasons to support your model.
  2. Find the probability that in any randomly chosen week the estate agent sells exactly 5 properties.
  3. Using a suitable approximation find the probability that during a 24 week period the estate agent sells more than 181 properties.