In an assembly system, the final product requires $3$ components. After performing life testing on several assemblies, you find the components$$ MTBF and MTTR are the following. The components are assembled in series to make the final product. What is system availability?

Find the smallest system reliability $($that is$,$ a bottleneck in the system$).$

$$

$$Component

MTBF $($hrs$)$

MTTR $($hrs$)$

System Availability

E

$245$

$20$

$245/(245+20)=0\mathrm{.}925$

F

$300$

$15$

$?$

G

$450$

$18$

$?$