OCR S3 Specimen — Question 2 7 marks

Exam BoardOCR
ModuleS3 (Statistics 3)
SessionSpecimen
Marks7
TopicDiscrete Random Variables
TypeMass and measurement problems

2 Boxes of matches contain 50 matches. Full boxes have mean mass 20.0 grams and standard deviation 0.4 grams. Empty boxes have mean mass 12.5 grams and standard deviation 0.2 grams. Stating any assumptions that you need to make, calculate the mean and standard deviation of the mass of a match. [7]