The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252chips and standard deviation129 chips.   ​(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate​ chips, inclusive? ​(b) What is the probability that a randomly selected bag contains fewer than1025 chocolate​ chips? ​(c) What proportion of bags contains more than1175chocolate​ chips? ​(d) What is the percentile rank of a bag that contains 1000 chocolate​ chips?

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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 deviation129 chips.
 
​(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate​ chips, inclusive?
​(b) What is the probability that a randomly selected bag contains fewer than1025 chocolate​ chips?
​(c) What proportion of bags contains more than1175
chocolate​ chips?
​(d) What is the percentile rank of a bag that contains 1000 chocolate​ chips?
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