State the conditions under which a Poisson distribution can be used as a suitable approximation for a Binomial distribution.
A network engineer claims that the probability of a data packet being corrupted during transmission over a specific fiber optic relay is 0.0008. A technician suspects that due to hardware degradation, the true probability of corruption is actually higher than 0.0008.
Define suitable null and alternative hypotheses to test the technician’s suspicion.
A random sample of 5000 data packets is monitored, and 9 are found to be corrupted.
Using a suitable approximation, test at the 5% level of significance whether there is sufficient evidence to support the technician's suspicion.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
