6. A system consists of two components. Suppose the joint pdf of the lifetimes of the two components in a system is given by fExy] = C[1 (I + 3,0] for I is U, j! 11': U, x + 3.? =5: 1U, where x and y are in months. a) If the rst component functions for exactly 3 months= what is the probability that the second functions for more than 2 months? b) Suppose the system will continue to work only as long as both components function. Among 2D of these systems that operate independently of each other, what is the probability that at least half work for more than 3 months