An electronics repair shop has determined that the time between failures for a particular electronic component part is exponentially distributed with a mean time between failures of 200 hours. Based on this information, the probability that a part will not fail in the first 200 hours is 0.50.

Question

Quizplus · Accepted Answer

The probability that a part will not fail in the first 200 hours is approximately 0.3679, not 0.50, because the exponential distribution with a mean of 200 hours has a rate parameter λ = 1/200, and the survival function is e^(-λt) = e^(-1) ≈ 0.3679 for t = 200 hours.

An Electronics Repair Shop Has Determined That the Time Between