The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 11,100. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 660 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. Refer to the table in Appendix B.1.

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 97 percent of the time? (Round z-value to 2 decimal places and the final answer to the nearest whole number.)

The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, where the amount requested for home loans followed the normal distribution with a mean of $65,000 and a standard deviation of $19,000. (Round z-score computation to 2 decimal places and the final answers to the nearest whole dollars.)

a. What is the minimum amount requested on the largest 2% of loans?

$

b. What is the maximum amount requested on the smallest 15% of loans?

It is estimated that 19% of those taking the quantitative methods portion of the certified public accountant (CPA) examination fail that section. Seventy three students are taking the examination this Saturday.

a-1. How many would you expect to fail? (Round the final answer to 2 decimal places.)

Number of students

a-2. What is the standard deviation? (Round the final answer to 2 decimal places.)

Standard deviation

b. What is the probability that exactly six students will fail? (Round the final answer to 4 decimal places.)

Probability

c. What is the probability at least six students will fail? (Round the final answer to 4 decimal places.)

Probability