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.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.