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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Parts a-d
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 1450 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 1500
chocolate chips is
(Round to four decimal places as needed.)
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 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 1450 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 1500 chocolate chips is (Round to four decimal places as needed.)
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