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A candy maker produces mints that have a label weight of 20.8 grams. Assume the distribution...

  1. A candy maker produces mints that have a label weight of 20.8 grams. Assume the distribution of the weight of these mints is N(21.37,0.16).

    1. (a) Suppose that 15 mints are randomly selected and weighted. Let Y be the number of meints that weigh less than 20.8 grams. Find P (Y ≤ 2).

    2. (b) Suppose that 3 mints are indepencently picked, what is the probability that their combined weight is more than 65 grams?

    3. (c) Suppose that 2 mints are indepencently picked, what is the probability that their weights differ by less than 1 gram?

    4. (d) Suppose that 30 mints are indepencently picked, what is the probability that their average weight is more than 21 grams?

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