Question: Suppose that the time between breakdowns for a machine is exponential with mean 6 hours. If the machine has worked without failure during the last

Suppose that the time between breakdowns for a machine is exponential with mean 6 hours. If the machine has worked without failure during the last 3 hours, what is the probability that it will continue without failure during the next hour? That it will break down during the next .5 hour?

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