4 Each box of Seeds \& Raisins contains \(S\) grams of seeds and \(R\) grams of raisins. The weight of a box, when empty, is \(B\) grams. \(S , R\) and \(B\) are independent random variables, where \(S \sim \mathrm {~N} ( 300,45 )\), \(R \sim \mathrm {~N} ( 200,25 )\) and \(\mathrm { B } \sim \mathrm { N } ( 15,4 )\). A full box of Seeds \& Raisins is chosen at random.
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1. Find the probability that the total weight of the box and its contents is more than 500 grams. [5]
2. Find the probability that the weight of seeds in the box is less than 1.4 times the weight of raisins in the box.