Given the following values: [begin{array}{lll}p_{1}=.8 & p_{2}=.9 Pleft(e_{11} ight)=.9 & Pleft(e_{21} ight)=.8 Pleft(c_{11} ight)=.7 & Pleft(c_{21} ight)=.9 Pleft(e_{12} ight)=.7 & Pleft(e_{22} ight)=.8

Given the following values:

\[\begin{array}{lll}p_{1}=.8 & p_{2}=.9 \\P\left(e_{11}\right)=.9 & P\left(e_{21}\right)=.8 \\ P\left(c_{11}\right)=.7 & P\left(c_{21}\right)=.9 \\ P\left(e_{12}\right)=.7 & P\left(e_{22}\right)=.8 \\ P\left(c_{12}\right)=.9 & P\left(c_{22}\right)=.7\end{array}\]

The reliability of the system is (to three decimal places):

a. 963

b. 961

c. 980

d. None of the above