In a random sample of 750 toner cartridges, the mean number of pages a toner cartridge can print is 4302 and the standard deviation is 340 pages. Assume the distribution of data is normally distributed.

a. Between what two values can you expect to find (the middle) 99.7% of the sample data?

b. What percent of the sample data should you expect to be more than 1 standard deviation away from the mean?

c. How many of the toner cartridges in the sample should you expect to print between 3962 pages and 4642 pages?

d. The company that makes the toner cartridges guarantees to replace any cartridge that prints fewer than 3622 pages. Approximately how many of the cartridges in the sample would you expect to be replaced under the guarantee policy?