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Assume that the distribution of the weights for a brand of mints is normal with mean...

Assume that the distribution of the weights for a brand of mints is normal with mean 21grams and standard deviation 0.5 grams. Let X be the weight of a randomly chosen mint from this brand.

a. Find the probability that a randomly chosen mint from this brand weighs at least 20 grams.

b. If a mint has a weight more than 20% of all the mints in this brand. Find the weight of this mint.

c. If a SRS of 25 mints were randomly selected, what is the probability that the average weight was less than 21.1 grams?

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