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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 100 questions covering The Normal Distribution, Finding Probabilities for Normal Distributions, The Inverse Normal Distribution Function, The Standard Normal Distribution, Finding the mean and standard deviation, Approximating a Binomial Distribution, and Hypothesis Testing with the Normal Distribution, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.