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.