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Determine the probability that the combined mass of $3$ randomly selected small bags exceeds the mass of one randomly selected large bag.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
The masses, measured in kilograms, of small bags of wheat and large bags of wheat are independently distributed as $N(16.0, 0.4)$ and $N(51.0, 0.9)$, respectively.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Expectation correctly calculated: $E(S_1+S_2+S_3-L)=16\times3-51=-3$” …
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