| Exam Board | CAIE |
| Module | S2 (Statistics 2) |
| Year | 2024 |
| Session | June |
| Topic | Linear combinations of normal random variables |
| Type | Sum versus sum comparison |
3 The masses in kilograms of large and small bags of cement have the independent distributions \(\mathrm { N } ( 50,2.4 )\) and \(\mathrm { N } ( 26,1.8 )\) respectively.
Find the probability that the total mass of 5 randomly chosen large bags of cement is greater than the total mass of 10 randomly chosen small bags of cement.
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