| Exam Board | CAIE |
| Module | S2 (Statistics 2) |
| Year | 2024 |
| Session | November |
| Topic | Linear combinations of normal random variables |
| Type | Sum 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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