URGENT!! Please show all work and answer the questions fully! I will give excellent ratings if you answer it fully, so I can fully understand.

With the booming world economy, the $2$xx$4$ lumber consumed in the construction industry is

considerably increasing. To obtain the $2$xx$4\text{'}$s that meet the quality requirements the milling

system for $2$xx$4\text{'}$s needs to be effective. The following reliability diagram is established. What is

the reliability of the milling system?

b$)$ A system for milling $2$xx$6\text{'}$s has four sensitive components connected in series with reliabilities

of $0\mathrm{.}93,0\mathrm{.}94,0\mathrm{.}92$ and $0\mathrm{.}97.$ According to the quality department of the lumber mill, the current

system lacks reliability. At the manufacturing plant, the engineers have proposed to improve the

reliability of the system. The new system still has four components, but the system has a backup

for each component. The four backup components all have a reliability of $0\mathrm{.}94.$ What is the

reliability of the series $($old$)$ system? What is the reliability of the new $($proposed$)$ system? If you

pay a premium, the manufacturer can improve all four of the backup units to $0\mathrm{.}97($the third

option$).$ What is the reliability of the third option?