Suppose a company repacks cereal by a machine that is calibrated so that the weight of cereal dispensed in a box is normally distributed with mean of 0.48 kilos, standard deviation of 0.02 kg, although the weight stated by the company in the cereal box is 0.5 kg. a. What is the probability that the weight of cereal dispensed in a box is the same as the weight stated in the cereal box? b. What is the probability that the weight of cereal dispensed in a box will exceed the weight stated in the cereal box? c. What is the probability that the weight of cereal dispensed in a box will be within 2 standard deviations away from the mean?

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