(a)[5]
Find the probability $P(L > S + 0.5)$.
(b)[5]
One large bag of tomatoes and one small bag of tomatoes are selected at random. Find the probability that the combined cost of the tomatoes in the two bags is less than $\$16$.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
$L$ and $S$ denote the masses, in kg, of large and small bags of tomatoes, with distributions $L \sim N(2.10, 0.12)$ and $S \sim N(1.51, 0.09)$ respectively. Tomatoes cost $\$4.30$ per kg.