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A local coffee roaster fills their own bags of coffee by hand. The weights of these coffee bags are normally distributed with a mean of

A local coffee roaster fills their own bags of coffee by hand. The weights of these coffee bags are normally distributed with a mean of 15.8 oz and a standard deviation of 0.2 oz. a) What is the probability that a randomly selected bag of coffee will weigh less than 15.55 oz? b) What is the probability that a randomly selected bag of coffee weighs more than 16.45 oz? c) What weight separates the lowest 19% of a bag of coffee weights from this roaster? (Round your answer to decimal place.)

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