The masses of domestic cats of a certain breed are known to follow a normal distribution with a mean of 4.25 kg4.25\text{ kg}4.25 kg and a standard deviation of 0.60 kg0.60\text{ kg}0.60 kg.
A cat of this breed is chosen at random.
Find the probability that the mass of this cat is more than 5.00 kg5.00\text{ kg}5.00 kg.
A veterinary clinic classifies the heaviest 15%15\%15% of this breed as "large".
Estimate, to 2 decimal places, the minimum mass a cat must have to be classified as "large".
228 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.