Edexcel S2 2010 January — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2010
SessionJanuary
TopicPoisson Distribution
TypeSingle scaled time period

  1. A robot is programmed to build cars on a production line. The robot breaks down at random at a rate of once every 20 hours.
    1. Find the probability that it will work continuously for 5 hours without a breakdown.
    Find the probability that, in an 8 hour period,
  2. the robot will break down at least once,
  3. there are exactly 2 breakdowns. In a particular 8 hour period, the robot broke down twice.
  4. Write down the probability that the robot will break down in the following 8 hour period. Give a reason for your answer.