A local FedEx/Kinkos has three black-and-white copy machines and two color copiers. Based on historical data, the chances that each black-and-white copier will be down for repairs is 0.10. The color copiers are more of a problem and are down 20% of the time each.
Repairs Available
Copy Machine 1 (E1) 0.1 0.9
Copy Machine 2 (E2) 0.1 0.9
Copy Machine 3 (E3) 0.1 0.9
Color Copier1 (E4) 0.2 0.8
Color Copier2 (E5) 0.2 0.8
Total 0.7 4.3
If the manager wants to have at least a 99% chance of being able to furnish a black-and-white copy on demand, is the present ocnfiguration sufficient? (Assume that the color copier can also be used to make a black-and-white copy if needed.) Back up your answer with appropriate probability computations.