The lifetime of a machine part, denoted by X, is distributed according to an Exponential distribution with mean lifetime (?) equal to 100 hours. What is the probability that the machine part lasts at least 50 hours?
Added by Jennifer L.
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In this case, the mean is 100 hours, so λ = 1/100. The probability that the machine part lasts at least 50 hours is given by the integral from 50 to infinity of the pdf. This is equivalent to 1 minus the cumulative distribution function (CDF) at 50, because the Show more…
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