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.
390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.