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
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.
b Express the covariance covX; Y between X and Y in terms of mX ; X ; a; b.
c Write down the variance expression Y of Y a...
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