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.
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.