A machine fills bags of coffee in such a way that the weight of a filled bag

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A machine fills bags of coffee in such a way that the weight of a filled bag has a normal distribution of μ = 510 g and σ = 20 g. The packages are labelled “Net weight: 500 g”.

1. What per cent of bags are underweight?

2. What per cent of bags weigh more than 550 g?

3. How large must μ be with the same standard deviation so that only 1% of bags are underweight?

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