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 1425 chocolate chips? (a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive, is 0.8534. (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is 0.0256. (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1225 chocolate chips is 0.5832. (Round to four decimal places as needed.) (d) A bag that contains 1425 chocolate chips is in the st percentile. (Round to the nearest integer as needed.)