| | | 1310860&infoId=181751 |
| | | Title
8.44 The number of pages printed before replacing the cartridge in a laser printer is normally...
Description
8.44 The number of pages printed before replacing the cartridge in a laser printer is normally distributed with a mean of 11,500 pages and a standard devia- tion of 800 pages. A new cartridge has just been installed.
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| | | a. What is the probability that the printer produces more than 12,000 pages before this cartridge must be replaced? |
| | | Mean | | 11500 |
| | | Expected value,X= | | 12000 |
| | | Standard deviation | | 800 |
| | | Z factor=(x- Mean)/Standard deviation |
| | | Z factor=(12000-11500)/800 | | 0.625 |
| | | For Z factor of 0.625,the confidence level from Z factor table |
| | | not meeting the requirement is | | | 73.57% |
| | | So the probabilty of meeting the requirement of more than 12000 pages | | | 26.43% |
| | | (1-73.57%) |
| | | b. What is the probability that the printer produces fewer than 10,000 pages?
|
| | | Mean | | 11500 |
| | | Expected value,X= | | 10000 |
| | | Standard deviation | | 800 |
| | | Z factor=(x- Mean)/Standard deviation |
| | | Z factor=(12000-11500)/800 | | -1.875 |
| | | For Z factor of -1.875,the confidence level from Z factor table |
| | | not meeting the requirement is | | | 96.99% |
| | | So the probabilty of meeting the requirement of less than 10000 pages | | | 3.01% |
| | | (1-96.99%) |
cybacatx
probability_laser_printer.xlsx
