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In a manufacturing company, there is a repair and maintenance office for the machines used in the production process. The machine repair time, in

In a manufacturing company, there is a repair and maintenance office for the machines used in the production process. The machine repair time, in hours, is a random variable having the density function given below. Find the probability that a machine will have a repair time of at least 200 hours. 80,000 x>0 3 f(x) (x+ 200) %3D elsewhere The probability that a machine has a repair time of at least 200 hours is (Type an integer or decimal rounded to three decimal places as needed.)

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