Problem $4$S$-1($Algo$)$

Consider the following system:

$0\mathrm{.}740\mathrm{.}74$

Determine the probability that the system will operate under each of these conditions:

a$.$ The system as shown. $($Do not round your intermediate calculations. Round your final answer to $4$ decimal places.$)$

Probability

b$.$ Each system component has a backup with a probability of $74$ and a switch that is $100$ percent reliable. $($Do not round your intermediate calculations. Round your final answer to $4$ decimal places.$)$