CAIE S2 2014 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2014
SessionJune
TopicLinear combinations of normal random variables
TypeSingle sum threshold probability

1 The masses, in grams, of apples of a certain type are normally distributed with mean 60.4 and standard deviation 8.2. The apples are packed in bags, with each bag containing 8 randomly chosen apples. The bags are checked by Quality Control and any bag containing apples with a total mass of less than 436 g is rejected. Find the proportion of bags that are rejected.