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Mathematical methods II course of the University of Oxford

Past exam of the mathematical methods II course of the University of Oxford

2021 resit

Subtract the two values of the <survival function>, or integrate the <probability density function> directly:
$$
\boxed{\mathbb P(14<T<30)
=\int_{14}^{30}\frac1{25}e^{-t/25}\,dt
=e^{-14/25}-e^{-30/25}
=0.270\quad\text{(three significant figures)}.}
$$
The final zero records the requested third significant figure.

Solution

Past exam of the mathematical methods II course of the University of Oxford / 2021 resit / 7 / b / iii / Solution

Past exam of the mathematical methods II course of the University of Oxford / 2021 resit / 7 / b / iii / Solution

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Past exam of the mathematical methods II course of the University of Oxford / 2021 resit / 7 / b / iii / Solution

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