The mass of flour in a bag, W W\,W grams, is normally distributed. It is known that 5% of the bags weigh less than 495 g and 12% of the bags weigh more than 510 g.
Calculate the mean, μ\muμ, and the standard deviation, σ\sigmaσ, of the masses of these bags.
328 exam-style questions on WJEC A Level Maths 4.2 Statistical distributions (A-level only), covering 4.2.1 Statistical distributions (A-level only), 4.2.2 Statistical distributions (A-level only), and 4.2.3 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.