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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 deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) What is the probability that a randomly selected bag contains fewer than 1000 chocolate chips? (c) What proportion of bags contains more than 1225 chocolate chips? (d) What is the percentile rank of a bag that contains 1450 chocolate chips? (a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive, is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is ☐ (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1225 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1450 chocolate chips is in the th percentile. (Round to the nearest integer as needed.)
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