A parallel system consisting of 4 independent components works if at least one c

Question

A parallel system consisting of 4 independent components works if at least one component works. However, a seriesl system consisting of 4 independent components works if all components work.

Now suppose probability p of any component works is 0.5.

Compute the following quantity and interpret your results.

A parallel system consisting of 4 independent components works if at least one component works. However, a series system consisting of 4 independent components works if all components work. Now suppose probability p of any component works is 0.5. Compute the following quantity and interpret your results.

Explanation / Answer

You can think of the probability that the parallel system works as the complement of the event of that the parallel system does not work

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