Question in Statistics and Probability Please show all work

++++Question in Statistics and Probability+++

***Please show all work***

What is the overall reliability for the following system?

Solution

Overall reliability = Pa (Pb+Pc)PePfPi + papdpe(pg+ph)pi

= 0.91(1.81)0.92(0.95)(0.9)+0.91(0.95)(0.92)(1.76)(0.9)

= (1.295+1.2598)/4= 0.6385