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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.

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 1100 and 1400

chocolate chips?

(b) What is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?

(c) What proportion of bags contains more than 1175 chocolate chips?

(d) What is the percentile rank of a bag that contains 1475 chocolate chips?

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