8960 12 b since the whole system works implies that

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Unformatted text preview: = C 3; 2p2q1 + C 3; 3p3q0 = 3  0:82  0:2 + 0:83 = 0.8960 12 b Since the whole system works implies that both A and B work, due to the independence, we have that Prsystem works = PrA B  = PrAPrB  = 0:8960  0:8960 = 0.8028 8 2 5. Let X be a r.v. having mean mX and variance X , and let Y = aX + b. a Express the correlation corX; Y  between X and Y in terms of mX ; X ; a; b. 7 b Express the covariance covX; Y  between X and Y in terms of mX ; X ; a; b. 8 2 c Write down the variance expression Y of Y a...
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