OCR S2 2005 June — Question 3

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2005
SessionJune
TopicApproximating the Poisson to the Normal distribution
TypeMultiple approximations in one question

3
  1. The random variable \(X\) has a \(\mathrm { B } ( 60,0.02 )\) distribution. Use an appropriate approximation to find \(\mathrm { P } ( X \leqslant 2 )\).
  2. The random variable \(Y\) has a \(\operatorname { Po } ( 30 )\) distribution. Use an appropriate approximation to find \(\mathrm { P } ( Y \leqslant 38 )\).