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Mathematics, 19.05.2020 17:02 reaunnatowns

A famous brand of pasta offers shells packaged in packages weighing 500g. The real weight of packets follows a normal distribution with mean µ = 500g and standard deviation σ = 15g.

1.1. What is the proportion of packages weighing more than 0.520 kg?
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1.2. What is the proportion of packages weighing between 485g and 515g?
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1.3. A customer randomly purchases a package. What is the probability that the weight of this package is less than 470 grams?

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