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1. The factory produces airmail envelopes. We assume that the envelope weight [grams] follows the (1.95, 0.052) distribution and that they are packed in packs

1. The factory produces airmail envelopes. We assume that the envelope weight [grams] follows the (1.95, 0.052) distribution and that they are packed in packs of 100 envelopes.

b) Determine a 95% "confidence interval" for the weight of the package of envelopes. c) With what probability the weight of at most one envelope does the envelope package fall short of the expected weight of the individual envelope? d) What is the probability that the average weight of the envelopes in the package is more than 1.97 grams?

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