LS1269: In an automobile, the shaft

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Question: In an automobile, the shaft
(it converts translatory motion to rotatory motion) can fail either due to failure of bearing or failure of slider crankshaft mechanism. The probabilities of failure of bearing and crankshaft are 0.2 and 0.3, respectively, and the probabilities of failure of shaft due to failure of bearing and due to failure of crankshaft are 0.5 and 0.6, respectively. If the shaft has failed in an automobile, what are the probabilities that it failed due to either failure of bearing or crankshaft?


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