Edexcel S2 2006 January — Question 2

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2006
SessionJanuary
TopicPoisson Distribution
TypeConsecutive non-overlapping periods

2. Accidents on a particular stretch of motorway occur at an average rate of 1.5 per week.
  1. Write down a suitable model to represent the number of accidents per week on this stretch of motorway. Find the probability that
  2. there will be 2 accidents in the same week,
  3. there is at least one accident per week for 3 consecutive weeks,
  4. there are more than 4 accidents in a 2 week period.