OCR S2 2013 June — Question 2

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2013
SessionJune
TopicApproximating the Poisson to the Normal distribution
TypeScaled Poisson over time period

2 The number of neutrinos that pass through a certain region in one second is a random variable with the distribution \(\operatorname { Po } \left( 5 \times 10 ^ { 4 } \right)\). Use a suitable approximation to calculate the probability that the number of neutrinos passing through the region in 40 seconds is less than \(1.999 \times 10 ^ { 6 }\).