The number of months a piece of mining equipment lasts before a breakdown is modelled using an exponential distribution with a mean of eight months. The probability distribution function is: $$f(x) = \frac{e^{-\frac{x}{8}}}{8}, x \ge 0.$$ What is the probability that the equipment will last longer than 12 months? 8% 22% 33% 66% None of the above
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