The capacity of a fuel tank, C C\,C litres, is normally distributed with a standard deviation of 1.5 litres. It is given that P(C<58.5)=0.12P(C < 58.5) = 0.12P(C<58.5)=0.12.
Determine the mean capacity of the fuel tank.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 100 questions covering The Normal Distribution, Finding Probabilities for Normal Distributions, The Inverse Normal Distribution Function, The Standard Normal Distribution, Finding the mean and standard deviation, Approximating a Binomial Distribution, and Hypothesis Testing with the Normal Distribution, 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.