 Solution

ID: past-exam-of-the-mathematical-methods-ii-course-of-the-university-of-oxford/2021-resit/7/b/i/solution

Integrating the probability density function over the stated interval gives

P (T < 8) = \int_{0}^{8} \frac{1}{25} e^{- t /25} d t = 1 - e^{- 8/25} = 0.274 (three significant figures) .

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