A laboratory centrifuge operates at discrete vibration stages V V\,V where V∈{1,2,3,4,5,6,7,8}V \in \{1, 2, 3, 4, 5, 6, 7, 8\}V∈{1,2,3,4,5,6,7,8}, and each stage is equally likely to occur during a test cycle.
Determine the mean and the variance of VVV.
The centrifuge is monitored over 60 independent test cycles. By applying the Central Limit Theorem, calculate an estimate for the probability that the average vibration stage Vˉ\bar{V}Vˉ of these 60 cycles is less than 4.1.
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.
