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".
390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.