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A system consisting of two components is subject to a series of shocks that arrive according...

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Statistics

A system consisting of two components is subject to a series ofshocks that arrive according to a Poisson process with a rate ofone per day. Half the shocks cause no damage, one in ten damagescomponent 1 alone, one in five damages component 2 alone, and therest damage both components. Note that if only one component isfunctioning, and a shock occurs that would damage both components,the functioning component is damaged. Compute the probability thatthe at least one component is still functioning after 5 days.

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Pat least one component working after 5 days 1 Pnocomponent working after 5 days 1 Pshock damages both Comp1 Comp2 x Pat least    See Answer
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