CAIE S2 2020 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionJune
TopicLinear combinations of normal random variables
TypeSingle sum threshold probability

1 The masses, in grams, of plums of a certain type have the distribution \(\mathrm { N } \left( 40.4,5.2 ^ { 2 } \right)\). The plums are packed in bags, with each bag containing 6 randomly chosen plums. If the total weight of the plums in a bag is less than 220 g the bag is rejected. Find the percentage of bags that are rejected.