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".
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.