The duration of a specific chemical synthesis process, TTT minutes, is modeled by a normal distribution such that T∼N(μ,122)T \sim N(\mu, 12^2)T∼N(μ,122). It is observed that only 10.56%10.56\%10.56% of trials result in a synthesis time of less than 217.4217.4217.4 minutes.
Determine the value of the mean reaction time μ\muμ.
Deduce the value of P(217.4<T<μ)P(217.4 < T < \mu)P(217.4<T<μ).
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.
