A dietary supplement in tablet form is sold in boxes that should ideally contain 100 tablets. The weight of an arbitrary tablet can be considered as one random variable with expectation value 1 gram and standard deviation 0.05 gram. (The manufacturing process is not perfect.) When packaging, pour tablets first on a scale until the weight exceeds 100g and packaged then. (Assume that the scale is accurate.) Approximately determine the probability that an arbitrary box contains at least 100 tablets. (Management: one box contains at least 100 tablets over and over again the weight of 99 tablets is less than 100g.)

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A dietary supplement in tablet form is sold in boxes that should ideally contain 100 tablets. The weight of an arbitrary tablet can be considered as one random variable with expectation value 1 gram and standard deviation 0.05 gram. (The manufacturing process is not perfect.) When packaging, pour tablets first on a scale until the weight exceeds 100g and packaged
then. (Assume that the scale is accurate.)
Approximately determine the probability that an arbitrary box contains
at least 100 tablets. (Management: one box contains at least 100 tablets over and over again the weight of 99 tablets is less than 100g.)

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