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.
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.