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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
