At the beginning of a particular work shift, a machine is in one of two states: operatingproperly, or operating in a degraded condition. The machine is operating properly atthe beginning of 90% of the work shifts, and operating in a degraded condition at thebeginning of 10% of the work shifts. Given that the machine is operating properly atthe beginning of the work shift, it will fail during the shift with probability 0.005. Giventhat the machine is operating in a degraded condition at the beginning of the workshift, it will fail during the shift with probability 0.25. What is the probability that themachine fails during the work shift