Edexcel S2 2013 June — Question 2

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2013
SessionJune
TopicPoisson Distribution
TypeSingle time period probability

  1. The number of defects per metre in a roll of cloth has a Poisson distribution with mean 0.25
Find the probability that
  1. a randomly chosen metre of cloth has 1 defect,
  2. the total number of defects in a randomly chosen 6 metre length of cloth is more than 2 A tailor buys 300 metres of cloth.
  3. Using a suitable approximation find the probability that the tailor's cloth will contain less than 90 defects.