The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. ​(a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips? ​(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate​ chips? ​(c) What proportion of bags contains more than 1175 chocolate​ chips?

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