CAIE S2 2011 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2011
SessionJune
TopicApproximating the Binomial to the Poisson distribution
TypeCalculate single probability using Poisson approximation

1 On average, 2 people in every 10000 in the UK have a particular gene. A random sample of 6000 people in the UK is chosen. The random variable \(X\) denotes the number of people in the sample who have the gene. Use an approximating distribution to calculate the probability that there will be more than 2 people in the sample who have the gene.