13- ### Educational Content on Chocolate Chip DistributionThe number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and a standard deviation of 129 chips.#### Questions:(a) **Probability Between 1000 and 1400 Chips**- What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips, inclusive?- **Answer:** The probability is [ ], rounded to four decimal places as needed.(b) **Probability Fewer Than 1125 Chips**- What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips?- **Answer:** The probability is [ ], rounded to four decimal places as needed.(c) **Proportion More Than 1225 Chips**- What proportion of bags contains more than 1225 chocolate chips?- **Answer:** The proportion is [ ], rounded to four decimal places as needed.(d) **Percentile Rank for 1050 Chocolate Chips**- What is the percentile rank of a bag that contains 1050 chocolate chips?- **Answer:** The bag is in the [ ]th percentile, rounded to the nearest integer as needed.This content is designed to guide learners through understanding probability distributions, specifically normal distribution, as it applies to real-world statistics such as the number of chocolate chips in a bag.

Let X denote the number of chocolate chips in a bag. Given that X follows N(mean = 1252, SD = 129), then Z = (X - mean)/SD follows N(0,1) Note : According to our guidelines we are solving only first three sub parts of a questions and the rest parts may be reposted.