The current system of two fans in SERIES looks like this with individual fan reliabilities as shown:

1. DRAW the fans in SERIES and determine the overall SYSTEM RELIABILITY (RS).

2. You decide to install a PARALLEL REDUNDANT SYSTEM with the EXACT same reliabilities as the original three fans. DRAW the PARALLEL REDUNDANT SYSTEM and determine the reliability for RS1 and RS2.

3. You decide, as the engineer, to built a BACKUP REDUNDANT SYSTEM with one fan backing up each of the two. The back-up reliability is the same as the original two - so the back-up to Fan #1 has a R1a of .98 and the back-up to Fan #2 has a R2a of .90. DRAW the system with BACKUP REDUNDANCY.

4. Write up a one-page analysis and attach it to describing your work and which of the three systems you would recommend and why!