i need a solution of A certain system is based on two independent modules, A and B. A failure of any module causes a failure of the whole system. The lifetime of each module has a Gamma distribution, with parameters α and λ given in the table, Component α λ (years-1) A 3 1 B 2 2 (a) What is the probability that the system works at least 2 years without a failure? (b) Given that the system failed during the first 2 years, what is the probability that it failed due to the failure of component B (but not component A)?