OCR S3 2010 June — Question 1

Exam BoardOCR
ModuleS3 (Statistics 3)
Year2010
SessionJune
TopicPoisson Distribution
TypeTwo independent Poisson sums

1 The numbers of minor flaws that occur on reels of copper wire and reels of steel wire have Poisson distributions with means 0.21 per metre and 0.24 per metre respectively. One length of 5 m is cut from each reel.
  1. Calculate the probability that the total number of flaws on these two lengths of wire is at least 2 .
  2. State one assumption needed in the calculation.