The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs

replacing is 12,275. The distribution of pages printed per cartridge closely follows the normal probability

distribution and the standard deviation is 745 pages. The manufacturer wants to provide guidelines to

potential customers as to how long they can expect a cartridge to last.

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99 percent of

the time? (Round z value to 2 decimal places. Round your answer to the nearest whole number.)

Pages