Below are a list of reliability values for components in the system over a $6$ year period to

the start of $2016.$

R$($conveyor chain$)=0\mathrm{.}92,$ R$($conveyor cogs$)=0\mathrm{.}92,$ R$($conveyor drive axle$)=0\mathrm{.}92,$ R$($conveyor

electric motor$)=0\mathrm{.}98,$ R$($conveyor power source and control$)=0\mathrm{.}98,$ R$($conveyor start$/$stop

button on MCP$)=0\mathrm{.}99,$ R$($E stop for conveyor in unload area E stop$)=0\mathrm{.}99,$

R$($Pump $1$ motor$)=0\mathrm{.}90,$ R$($Pump $2$ motor$)=0\mathrm{.}95.$

Assume that life times of the components are independent and that the components of the

conveyor system are in series. What is the conveyor system reliability for the same six year

period?

A$.0\mathrm{.}627$

B$.0\mathrm{.}733$

GENG$5507$ FIRST SEMESTER EXAMINATION $2022$

$8$

C$.0\mathrm{.}763$

D$.1\mathrm{.}364$

E$.$ None of the above