A high-precision voltage regulator is tested for drift during calibration. In each micro-adjustment step, the voltage deviation VVV is an integer millivolt value where V∈{−3,−1,1,3}V \in \{-3, -1, 1, 3\}V∈{−3,−1,1,3}, with each value being equally likely.
Determine the mean and the variance of VVV.
A sequence of 150 independent micro-adjustments is performed. Using the Central Limit Theorem, calculate an approximation for the probability that the average voltage deviation of these 150 adjustments is less than -0.25.
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.
