Determine the cumulative distribution function for f (x) = (e⁻ˣ/¹⁰⁰)/500- , where x is the time to failure of 500 an electronic component in a copier in hours (x > 0). Use the cumulative distribution function to determine the probability that a component lasts more than 1000 hours before failure. Round your answer to three decimal places (e.g. 98.765) .