CAIE S2 2008 November — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2008
SessionNovember
TopicLinear combinations of normal random variables
TypeSum versus sum comparison

3 Weights of garden tables are normally distributed with mean 36 kg and standard deviation 1.6 kg . Weights of garden chairs are normally distributed with mean 7.3 kg and standard deviation 0.4 kg . Find the probability that the total weight of 2 randomly chosen tables is more than the total weight of 10 randomly chosen chairs.