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.
