The volume of juice in a specific brand of bottle follows a normal distribution. 5% of bottles contain less than 480 ml. 15% of bottles contain more than 510 ml.
Find the mean and standard deviation of the volumes of juice in these bottles.
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.