The volumes of specialized propellant canisters, V V\,V ml, are modeled by a normal distribution with mean 450 ml and standard deviation 12 ml.
Determine the probability that a canister chosen at random from the production line contains more than 432 ml.
A specific high-pressure canister, 'Titan-X', is ranked at the 85th85\text{th}85th percentile for volume within this distribution.
Calculate the volume of propellant in the 'Titan-X' canister.
A different propellant, 'Solvent-B', has canisters whose volumes, W W\,W ml, are normally distributed with a standard deviation of 15 ml.
Given that 98% of 'Solvent-B' canisters have a volume greater than the mean volume of the V V\,V distribution,
find the mean volume of a 'Solvent-B' canister, giving your answer to one decimal place.
