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The lifetime of an electronic component (in years) X is known to follow a continuous uniform distribution with = 1, = 0. However, after updating

The lifetime of an electronic component (in years) X is known to follow a continuous uniform distribution with = 1, = 0. However, after updating the manufacturing processes and materials, it is estimated that the new useful life time will be Y=-2 log(X). Where X represents the useful life time before the update. What is the probability that a component (after updating) will last more than 1 year?

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