OCR S2 2011 January — Question 8

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2011
SessionJanuary
TopicApproximating the Binomial to the Poisson distribution
TypeState Poisson approximation with justification

8 A company has 3600 employees, of whom \(22.5 \%\) live more than 30 miles from their workplace. A random sample of 40 employees is obtained.
  1. Use a suitable approximation, which should be justified, to find the probability that more than 5 of the employees in the sample live more than 30 miles from their workplace.
  2. Describe how to use random numbers to select a sample of 40 from a population of 3600 employees.