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Normal distribution and probabilities Factory produces envelopes, and an envelope's weight (unit is a gram) X follows a normal distribution (1,99 , 0.05 2 ).

Normal distribution and probabilities Factory produces envelopes, and an envelope's weight (unit is a gram) X follows a normal distribution (1,99 , 0.052). a) What is the probability that envelope picked at random weighs at least two grams? b) What is the probability, that a package of hundred envelopes weighs over 200 grams? c) A4-paper sheet is put into a randomly picked envelope. The paper sheet is following a normal distribution (4.98 , 0.042). What is the probability that the envelope's total weight stays bellow seven grams?

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