The manufactuer of a laser printer reports the mean number of pages a cartridge
ID: 3310758 • Letter: T
Question
The manufactuer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 10,900. The distribution of pages printed per cartridge closley follows the normal probability distribution and the standard deviation is 640 pages. The manufacturer wants to provide guidlines to potential customers as to how big they can expect a cartridge to last. Refer to z-table (1.96)
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99 percent of the time?
Explanation / Answer
= 10900 = 640
z for 99% = 2.325
x = 10900 + 2.576 * 640
= 12548.64.
Thus the manufacturer must advertise 12549 pages for each cartridge.
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