Question: 7. A machine is made up of three components with the following probabilities of working satisfactorily: 0.95, 0.96, 0.92. The machine is designed so that

7. A machine is made up of three components with the following probabilities of working

satisfactorily: 0.95, 0.96, 0.92. The machine is designed so that it can still function with only

one component working. Calculate the probability that

a) The machine fails

b) The machine has only one component working

c) The machine has at least one component working

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