this is a 4 part question, please show very clear, detailed work

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. 1. Determine the proportion of scanners that can be expected to fail before 38 years. a. 34.13% b. 18.57% c. 50.00% d. 22.66% e. 27.34% 2. Determine the proportion of scanners that can be expected to still work after 45 years. a. 34.13% b. 18.57% c. 50.00% d. 22.66% e. 27.34% 3. Determine the proportion of scanners that can be expected to still work after 39 years. a. 30.85% b. 19.15% 50.00% d. 80.85% e. 69.15% C. 4. Within what amount of time would 95.05% of the scanners have failed? a. 23.6 years b. 34.4 years c. 45.1 years d. 44.8 years e. 47.6 years