A market stall sells vegetables. Two of the vegetables sold are broccoli heads and cabbages. The weights of these broccoli heads, $$\(B\)$$ kilograms, follow a normal distribution $$\[ B \sim \mathrm{N}\left(0.588,0.084^{2}\right) \]$$ The weights of these cabbages, $$\(C\)$$ kilograms, follow a normal distribution $$\[ C \sim \mathrm{N}\left(0.908,0.039^{2}\right) \]$$ Find the probability that the total weight of two randomly chosen broccoli heads is less than the weight of a randomly chosen cabbage. (4) Broccoli heads cost $$\(£ 2.50\)$$ per kg and cabbages cost $$\(£ 3.00\)$$ per kg. Jaymini buys 1 broccoli head and 2 cabbages, chosen randomly.

Answer:

Knowledge points:

Solution: