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 fail between 20 and 100 hours is approximately 0.30.

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The exponential distribution with a mean of 200 hours has a rate parameter λ = 1/200. The probability of failure between 20 and 100 hours can be calculated using the cumulative distribution function (CDF) of the exponential distribution, which results in approximately 0.30.

An Electronics Repair Shop Has Determined That the Time Between