The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 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?
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Understanding Chocolate Chip Distribution in Cookie Bags
The distribution of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normal, with a mean of 1252 chips and a standard deviation of 129 chips. Here are some questions that explore this distribution:
#### (a) Probability of Chips Between 1100 and 1500
What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips?
#### (b) Probability of Fewer Than 1100 Chips
What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips?
#### (c) Proportion of Bags with More Than 1225 Chips
What proportion of bags contains more than 1225 chocolate chips?
#### (d) Percentile Rank for 1425 Chips
What is the percentile rank of a bag that contains 1425 chocolate chips?
These questions utilize the properties of the normal distribution to calculate probabilities and percentiles related to the number of chocolate chips in the bags.
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