(main)[5]
Calculate the chance that the total mass of $5$ randomly selected large bags of cement exceeds the total mass of $10$ randomly selected small bags of cement.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
The kilogram masses of large and small bags of cement are independently distributed as $N(50,\,2.4)$ and $N(26,\,1.8)$, respectively.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Treat the difference as Normal and calculate the mean $5\times50-10\times26=-10$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI