Suppose that a second $25\mathrm{.}00\%$ reliable backup part could be installed, so that if both the original and the first ckup part fail, then the second backup part will be used. If that second backup part costs $$100\mathrm{.}00,$ should it installed? Support your answer.

The new pro ability of failure is $\%($round your response to two decimal places$).$

The new expected cost of failure is $ $($round your response to the nearest penny$).$

The firm should pay as much as $$||$ for the backup $($round your response to the nearest penny$).$

Should the firm install the second backup?