Question: A candy maker produces mints that have a label weight of 21 grams. Assume the distribution of the weight of these mints is N(21.37, 0.16).

A candy maker produces mints that have a label weight of 21 grams. Assume the distribution of the weight of these mints is N(21.37, 0.16). (a) Suppose that 2 mints are independently picked, what is the probability that their weights differ by less than 1 gram? (b) Suppose that 30 mints are independently picked, what is the probability that their average weight is more than 21 grams? (c) Suppose that 30 mints are independently picked, what is the probability that their standard deviation is more than 0.5 grams?

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