OCR S2 2012 June — Question 6

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2012
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeCompare approximation methods

6 At a tourist car park, a survey is made of the regions from which cars come.
  1. It is given that \(40 \%\) of cars come from the London region. Use a suitable approximation to find the probability that, in a random sample of 32 cars, more than 17 come from the London region. Justify your approximation.
  2. It is given that \(1 \%\) of cars come from France. Use a suitable approximation to find the probability that, in a random sample of 90 cars, exactly 3 come from France.