A machine fills bottles with water. The amount of water in each bottle, W W\,W ml, is Normally distributed with mean 500 ml.
It is given that 30% of bottles contain more than 504 ml.
Find the value of k k\,k for which P(k<W<505)=0.45P(k < W < 505) = 0.45P(k<W<505)=0.45. Give your answer to 1 decimal place.
284 exam-style questions on CCEA A Level Maths 4.5 Statistical distributions (A-level only), covering 4.5.1 Statistical distributions (A-level only) and 4.5.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.