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The number of chocolate chips in an18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation

The number of chocolate chips in an18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips.

(a) What is the probability that a randomly selected bag contains between 1000

and 1500 chocolatechips, inclusive?

(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolatechips?

(c) What proportion of bags contains more than 1200 chocolatechips?

(d) What is the percentile rank of a bag that contains 1050 chocolatechips?

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