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.
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.