5.18 An electronic system has one each of two different types of components in joint operation. Let Y, and Y, denote the random lengths of life of the components of type I and type II, respectively....

Could you please help solve this question using integration by parts? Thanks


Extracted text: 5.18 An electronic system has one each of two different types of components in joint operation. Let Y, and Y, denote the random lengths of life of the components of type I and type II, respectively. The joint density function is given by (1/8)y¡e-0i +92)/2, yı > 0, y2 > 0, f (yı, y2) = 0, elsewhere. (Measurements are in hundreds of hours.) Find P(Y, > 1, Y2 > 1).