The amount of sugar contained in 1-kg packets is actually normally distributed with a mean of

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The amount of sugar contained in 1-kg packets is actually normally distributed with a mean of μ = 1.03 kg and a standard deviation of σ = 0.014 kg.
(a) What proportion of sugar packets are underweight?
(b) If an alternative package-filling machine is used for which the weights of the packets are normally distributed with a mean of μ = 1.05 kg and a standard deviation of σ = 0.016 kg, does this result in an increase or a decrease in the proportion of underweight packets?
(c) In each case, what is the expected value of the excess package weight above the advertised level of 1 kg?
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