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.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.