CAIE S2 2002 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2002
SessionJune
TopicLinear combinations of normal random variables
TypeMixed sum threshold probability

3 Mary buys 3 packets of sugar and 5 packets of coffee and puts them in her shopping basket, together with her purse which weighs 350 g . Weights of packets of sugar are normally distributed with mean 500 g and standard deviation 20 g . Weights of packets of coffee are normally distributed with mean 200 g and standard deviation 12 g . Find the probability that the total weight in the shopping basket is less than 2900 g .