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.
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.