A parallel system consisting of 4 independent components wor

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.

Solution

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