A system comprised of three independent components. The probability of failure f

Question

A system comprised of three independent components. The probability of failure
for each component is given.
------A1-----
----- -----A3-----
------A2-----
A1 = .1
A2 = .2
A3 = .3
Use our standard Notation: A1, A2, A3, A = (system operates properly)

a) Find the probability that the system operates properly.
b) Find the probability that the system operates properly and exactly two
of the components work.
c) Find the probability that the system operates properly if exactly two of
the components work.

Explanation / Answer

is this the diagram? https://dl.dropbox.com/u/83216089/asol/kdf3ath6.gif

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