A machine has four independent components, three of which fail with prob- ability q = 1 p, and one with probability 1/2. The machine is
A machine has four independent components, three of which fail with prob- ability q = 1 p, and one with probability 1/2. The machine is operational as long as at least two components are working.
(a) What is the probability that the machine will fail? Evaluate this probability for p = 0.4.
(b) If the machine failed, what is the probability that the component which fails with probability 1/2 actually failed.
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Authors: Frederick R. Adler
3rd edition
840064187, 978-1285225975, 128522597X, 978-0840064189
