An electronic system is subject to two types of shocks which arrive independently of each other according to homogeneous Poisson processes with intensities respectively. A shock of type 1 always...

An electronic system is subject to two types of shocks which arrive independently of each other according to homogeneous Poisson processes with intensities

respectively. A shock of type 1 always causes a system failure, whereas a shock of type 2 causes a system failure with probability 0.4.

What is the probability of the event A that the system fails within 24 hours due to a shock?