9709 P65 - Nov 2025 - Q5 - 10 marks
9342
The masses, in kg, of large and small bags of tomatoes have the distributions \(L\sim N(2.10,0.12)\) and \(S\sim N(1.51,0.09)\) respectively.
(a) Find \(\mathrm P(L>S+0.5)\). [5]
The price of tomatoes is \(\$4.30\) per kg.
(b) A large bag of tomatoes and a small bag of tomatoes are chosen at random. Find the probability that the total price of the tomatoes in the two bags is less than \(\$16\). [5]
