The number of chocolate chips in an​ 18-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 1100
and 1400 chocolate​ chips, inclusive?
​(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate​ chips?
​(c) What proportion of bags contains more than 1200 chocolate​ chips?
​(d) What is the percentile rank of a bag that contains 1000 chocolate​ chips?



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