The weights of vegetable marrows supplied to retailers by a wholesaler have a normal distribution with mean 1.5 kg and standard deviation 0.6 kg. The wholesaler supplies three sizes of marrow: Size 1, under 0.9 kg. Size 2, from 0.9 kg to 2.4 kg. Size 3, over 2.4 kg. Find, three decimal places, the proportions of marrows in the three sizes. The prices of the marrows are 16p for Size 1, 40p for Size 2 and 60p for Size 3. Calculate the expected total cost of 100 marrows client random from those supplied. (L)