A machine is composed of three identical components placed in standby redundancy, so that the components operate (independently from each other) by turns. The lifetime (in weeks) of a component is an exponential random variable with parameter λ = 1/5. There are no spare components in stock. What is the probability that the machine will break down at some time during the next nine weeks, from the initial time, and remain down for at least a week, if we suppose that no spare components are expected to arrive in these next nine weeks?