Edexcel S2 2012 January — Question 4

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2012
SessionJanuary
TopicPoisson Distribution
TypeExplain or apply conditions in context

4. A website receives hits at a rate of 300 per hour.
  1. State a distribution that is suitable to model the number of hits obtained during a 1 minute interval.
  2. State two reasons for your answer to part (a). Find the probability of
  3. 10 hits in a given minute,
  4. at least 15 hits in 2 minutes. The website will go down if there are more than 70 hits in 10 minutes.
  5. Using a suitable approximation, find the probability that the website will go down in a particular 10 minute interval.