The masses of vacuum-sealed pouches of Estate coffee beans are normally distributed with a mean of 520 g and a standard deviation of 15 g.
Calculate the mean and the standard deviation of the total mass of a carton containing 8 randomly selected pouches of Estate coffee beans.
A distributor prepares a wholesale shipment using one carton of 8 pouches.
Determine the probability that the total mass of the pouches in this carton exceeds 4220 g.
The masses of Wholesale bulk bags of coffee are normally distributed with a mean of 2200 g and a standard deviation of 45 g.
Determine the probability that the total mass of 8 randomly selected pouches of Estate coffee beans is less than twice the mass of a single Wholesale bulk bag.
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.