The weights of bags of sugar, W W\,W grams, are normally distributed. It is known that P(W<490)=0.15P(W < 490) = 0.15P(W<490)=0.15 and P(W>515)=0.25P(W > 515) = 0.25P(W>515)=0.25.
Find the mean and standard deviation of the weights of the bags of sugar.
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.