The weights of a breed of adult Labrador retrievers are normally distributed with mean 32.5 kg32.5\text{ kg}32.5 kg and standard deviation 2.4 kg2.4\text{ kg}2.4 kg.
Find the probability that a randomly chosen Labrador of this breed weighs more than 30.1 kg30.1\text{ kg}30.1 kg.
A puppy named Max is currently at the 70th70\text{th}70th percentile for weight in his age group.
Assuming Max remains at the 70th70\text{th}70th percentile, estimate his weight as an adult.
The weights of adult Golden Retrievers are normally distributed with standard deviation 2.8 kg2.8\text{ kg}2.8 kg.
Given that 95%95\%95% of adult Golden Retrievers weigh more than the mean weight of the Labradors,
find the mean weight of an adult Golden Retriever.
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.