OCR S2 2011 January — Question 3

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

3 The probability that a randomly chosen PPhone has a faulty casing is 0.0228 . A random sample of 200 PPhones is obtained. Use a suitable approximation to find the probability that the number of PPhones in the sample with a faulty casing is 2 or fewer. Justify your approximation.