CAIE S2 2024 November — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2024
SessionNovember
TopicLinear combinations of normal random variables
TypeSum versus sum comparison

2 The masses, in kilograms, of small and large bags of wheat have the independent distributions \(\mathrm { N } ( 16.0,0.4 )\) and \(\mathrm { N } ( 51.0,0.9 )\) respectively. Find the probability that the total mass of 3 randomly chosen small bags is greater than the mass of one randomly chosen large bag.
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