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Year 1 of the computer science course of the University of Oxford

Past exam of the year 1 of the computer science course of the University of Oxford

2022

Discrete mathematics, continuous mathematics, and probability

Probability

This is the <geometric distribution> on $\{0,1,2,\ldots\}$ with success parameter $1/2$. Its <probability generating function> is a <geometric series>:
$$
\boxed{G_N(s)=\frac12\sum_{k=0}^\infty\left(\frac s2\right)^k=\frac1{2-s},\qquad |s|<2.}
$$

Solution

Past exam of the year 1 of the computer science course of the University of Oxford / 2022 / Discrete mathematics, continuous mathematics, and probability / Probability / 8 / a / ii / Solution

Past exam of the year 1 of the computer science course of the University of Oxford / 2022 / Discrete mathematics, continuous mathematics, and probability / Probability / 8 / a / ii / Solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2022 / Discrete mathematics, continuous mathematics, and probability / Probability / 8 / a / ii / Solution

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