(a)[5]
Determine the probability that the combined mass of these $6$ bags of flour is below $4130\,\text{g}$.
(b)[5]
Find the probability that the total mass of the 4 small bags exceeds the total mass of the 2 large bags.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
The masses, measured in grams, of small and large bags of flour follow the distributions $N(510, 100)$ and $N(1015, 324)$ respectively. André chooses $4$ small bags of flour and $2$ large bags of flour at random.