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A company produces bags of sugar whose masses, in grams, can be modelled by a normal distribution with mean 1000 and standard deviation 3.5. A bag of sugar is rejected for sale if its mass is less than 995 grams.(a) Find the probability that a bag selected at random is rejected. [2](b) Estimate the number of bags which will be rejected from a random sample of 100 bags. [1](c) Given that a bag is not rejected, find the probability that it has a mass greater than 1005grams.
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