Question: 45. Each time a certain machine breaks down it is replaced by a new one of the same type. In the long run, what percentage

45. Each time a certain machine breaks down it is replaced by a new one of the same type. In the long run, what percentage of time is the machine in use less than one year old if the life distribution of a machine is

(a) uniformly distributed over (0, 2)?

(b) exponentially distributed with mean 1?

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