b) A factory produces bags of sugar with a labelled weight of 500 g. The weights of the bags are normally distributed with a mean of 500 g and a standard deviation of 3 g. A bag that weighs less than 495 g is rejected by the factory for being underweight. a) Write down the percentage of bags that weigh more than 500 g. b) Find the probability that a randomly chosen bag is rejected for being underweight. c) A bag that weighs more than k grams is rejected by the factory for being overweight. The factory rejects 2% of bags for being overweight. Find the value of k.