A system of electronic tubes is connected as in Figure 1. The time to failure of each component follows an exponential distribution with A, being the parameter for the component i. 3 Figure 1: A system of electronic tubes Assume A₁ A2 = A3 = 1, A4 = X5 = 2. a) What is the probability that component 1 is functioning at t = 1? b) What is the probability that this system is functioning at time t = 1? c) Given that the system failed at time t = 1, what is the probability that component 1 failed?

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