The weights of crates that are delivered to a warehouse are normally distributed with a mean of 25 kg and a standard deviation of 4.5 kg.
Find the probability that a randomly selected crate weighs more than 33 kg.
The lightest 20% of crates are handled by a specialized automated conveyor system.
Find the weight, in kg, of the heaviest of these crates that the conveyor system will handle.
One of the crates not handled by the conveyor system is selected at random.
Find the probability that it weighs less than 28 kg.
A shipment of 5 crates is delivered to the warehouse. The weights of the crates are independent.
Find the probability that exactly 3 of them will be handled by the conveyor system.
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.