A juice company sells two sizes of orange juice cartons. The volume of juice in each carton is normally distributed. A large carton has a mean of 1000 ml and a standard deviation of 12 ml. A small carton has a mean of 240 ml and a standard deviation of 5 ml.
One large carton and 4 small cartons are chosen at random. Find the probability that the volume in the large carton is greater than the total volume in the 4 small cartons.
One large carton and one small carton are chosen at random. Find the probability that the volume in the large carton is less than 4 times the volume in the small carton.
78 exam-style questions on OCR (MEI) A Level Maths 2.4.8 Normal distribution as a model (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.