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1. Largest component reliability under budget ●●○○○ 20 ptsA component's cost is $C = (10P)^2$ dollars, where $P$ is the probability that the component operates as expected. A system has two identical components, and both must operate for the system to operate. A total of $173 can be spent on the two components. What is the largest component probability $P$ that can be achieved? Round to two decimal places.