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A sensory device consisting of two identical sensors that are connected in parallel , will fail if both of the two sensors fail together, otherwise
A sensory device consisting of two identical sensors that are connected in parallel, will fail if both of the two sensors fail together, otherwise it will continue functioning. Assume that the lifetime of each individual sensor is according to the Exponential distribution with an average lifetime of 5 years (rate=1/5). Further assume that each sensor's lifetime is independent of that of the other sensor.
What is the probability that the device described above will last for at least 5 years?
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