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 1400 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 1000 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 1400 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 1000 chocolate chips?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text: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 1400 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 1000 chocolate chips?
Click the icon to view a table of areas under the normal curve.
(a) The probability that a randomly selected bag contains between 1100 and 1400 chocolate chips is 0.7550
(Round to four decimal places as needed.)
(b) The probability that a randomly selected bag contains fewer than 1100 chocolate chips is 1193.
(Round to four decimal places as needed.)
(c) The proportion of bags that contains more than 1225 chocolate chips is 5832
(Round to four decimal places as needed.)
(d) A bag that contains 1000 chocolate chips is in the rd percentile.
(Round to the nearest integer as needed.)
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