Electronic components of a certain type have a length of life Y, with probability density given by f(y) = { (1/100) e-9/100 y > 0, 0, elsewhere. (Length of life is measured in hours.) (a) Suppose that two such components operate independently and in series in a certain system (hence, the system fails when either component fails.) Find the density function for X, the length of life of the system. (b) Suppose that the components operate in parallel (hence, the system does not fail until both components fail). Find the density function for X, the length of life of the system.