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.1 points My Notes Ask Your Teacher Consider the following contiguration of sola

ID: 3054648 • Letter: #

Question

.1 points My Notes Ask Your Teacher Consider the following contiguration of solar photovoltair arrays consisting of crystalline sliron solar cels here are two subsystems connected in paralel, each one contanng two cells. in order for the system to function, at least one of the two paralel subsystems must work. Within each subsystem, the two cels are connected in senes, so a subsystem wil work only if al cells in the subsystem work. Consider a particular ifctime valuc to, and supposc wc want to determinc the probabiity that the system itctimc cxoceds to. Let A denote the cvcnt that thec litetimc of ccll exceeds to (i-1, 2, .. ., 4). We assume that the As ae independent events (whether anypt cel lasts more than to hours has no beating on whether or not any other cell does) and that PA)0.6 for every i since the cels are dentical. Using P A.)?0.6, the probabil ty that system lfetme exceeds ti is easily seen to be 0.5904. To what value would 0.6 have to be changed in order to increase the system lfeome reliablity from 0.5904 to 0.61??Hint: Let p A)-P express system relibiity in terms of p, and then let K-p2. Round your answer to tour decimal places.)

Explanation / Answer

System reliability =

(0.6*0.6)+(0.6*0.6)-(0.6*0.6*0.6*0.6)

=0.5904

We need to change it 0.5904 to 0.61

0.61=x^2+x^2-x^4

0.61=2x^2-x^4

X=0.6127 or 1.2647

But1.2647 not possible

So X would be 0.6127