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 OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.