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9. A bottle of fruit punch contains at least 473 ml. The machine that fills the bottles is set so that the mean volume is 477 ml. The volumes in the bottles are normally distributed. a) What percent of the bottles are underfilled if the standard deviation is 2 ml? b) What percent of the bottles are underfilled if the standard deviation is 4 ml? 10. A grading scale is set up for 1000 students' test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15 a) How many students will have scores between 45 and 75? b) If 60 is the lowest passing score, how many students are expected to pass the test?

9. A bottle of fruit punch contains at least 473 ml. The machine that fills the bottles is set so that the mean volume is 477 ml. The volumes in the bottles are normally distributed. a) What percent of the bottles are underfilled if the standard deviation is 2 ml? b) What percent of the bottles are underfilled if the standard deviation is 4 ml? 10. A grading scale is set up for 1000 students' test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15 a) How many students will have scores between 45 and 75? b) If 60 is the lowest passing score, how many students are expected to pass the test?

MATLAB: An Introduction with Applications
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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7. The Floppy Disk Company makes 3.5 inch floppy disks for disk drives that are 3.7 inches wide. The size of a manufactures disk is normally distributed with a standard deviation of 0.1 inches. The company manufactures 1000 disks every hour. a) What % of the disks would you expect to be greater than 3.5 inches? b) In one hour, how many disks would you expect to be between 3.4 inches and 3.7 inches? c) About how many disks will be unable to fit in the disk drive (3.7 inch won't fit)? 8. The mean life of a battery is 50 hours with a standard deviation of 6 hours. The manufacturer advertises that they will replace all batteries that last less than 38hours. If 50 000 batteries were produced, how many would they expect to replace? 9. A bottle of fruit punch contains at least 473 ml. The machine that fills the bottles is set so that the mean volume is 477 ml. The volumes in the bottles are normally distributed. a) What percent of the bottles are underfilled if the standard deviation is 2 ml? b) What percent of the bottles are underfilled if the standard deviation is 4 ml? 10. A grading scale is set up for 1000 students' test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15 a) How many students will have scores between 45 and 75? b) If 60 is the lowest passing score, how many students are expected to pass the test? 11. The monthly income of 5 000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250. a) How many workers earn more than $1500 per month? b) How many workers earn less than $750 per month? c) What percentage of the workers earn between $750 and $1500 per month? d) What percentage of the workers earn less than $1750 per month? For #26 – 28: Find the value of z from the standard normal distribution that satisfies each of the following conditions. (Use the value of z from Table A that comes closest to satisfying the condition.) 26. 27. 28. Area is 0.5035 Area is 0.2981 Area is 0.0630 -z Z=......... Z=............ ...........
Transcribed Image Text:7. The Floppy Disk Company makes 3.5 inch floppy disks for disk drives that are 3.7 inches wide. The size of a manufactures disk is normally distributed with a standard deviation of 0.1 inches. The company manufactures 1000 disks every hour. a) What % of the disks would you expect to be greater than 3.5 inches? b) In one hour, how many disks would you expect to be between 3.4 inches and 3.7 inches? c) About how many disks will be unable to fit in the disk drive (3.7 inch won't fit)? 8. The mean life of a battery is 50 hours with a standard deviation of 6 hours. The manufacturer advertises that they will replace all batteries that last less than 38hours. If 50 000 batteries were produced, how many would they expect to replace? 9. A bottle of fruit punch contains at least 473 ml. The machine that fills the bottles is set so that the mean volume is 477 ml. The volumes in the bottles are normally distributed. a) What percent of the bottles are underfilled if the standard deviation is 2 ml? b) What percent of the bottles are underfilled if the standard deviation is 4 ml? 10. A grading scale is set up for 1000 students' test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15 a) How many students will have scores between 45 and 75? b) If 60 is the lowest passing score, how many students are expected to pass the test? 11. The monthly income of 5 000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250. a) How many workers earn more than $1500 per month? b) How many workers earn less than $750 per month? c) What percentage of the workers earn between $750 and $1500 per month? d) What percentage of the workers earn less than $1750 per month? For #26 – 28: Find the value of z from the standard normal distribution that satisfies each of the following conditions. (Use the value of z from Table A that comes closest to satisfying the condition.) 26. 27. 28. Area is 0.5035 Area is 0.2981 Area is 0.0630 -z Z=......... Z=............ ...........
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Given9)GivenMean(μ)=477a)givenstandard deviation(σ)=2

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