Question 5 - A-Level Maths

Exam Board	Edexcel
Module	S2 (Statistics 2)
Year	2005
Session	June
Topic	Approximating the Binomial to the Poisson distribution
Type	State Poisson approximation with justification

5. In a manufacturing process, \(2 \%\) of the articles produced are defective. A batch of 200 articles is selected.

Giving a justification for your choice, use a suitable approximation to estimate the probability that there are exactly 5 defective articles.
Estimate the probability there are less than 5 defective articles.