= In this exercise we will use a simplified mathematical model to analyze failures in a distributed system. Explain your answers. Suppose each computer in has a probability of p of failing at any time. a) If n computers are interconnected and the availability of each computer is needed to maintain a service provided using distributed computing involving these computers, what is the probability that the service will not be available at any time, assuming that no other components in the distributed system will fail? b) Use p = 0.2 and n = 3 to compute the probability. How does it compare with the failure probability if the same computing is performed using monolithic computing, that is, on one computer only? = t6

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