2023 (source code)

= 2023
{scope}
{title2=B8.1}
{title2=A16550W1}

Solutions to every part of all three questions of the <probability, measure and martingales course of the University of Oxford> Part B examination, sat on 5 June 2023. Source: https://www.whatdotheyknow.com/request/request_for_mathematics_examinat/response/3129786/attach/3/FOI%20202507%20740%20Data.pdf#page=288[original released PDF, bundle pages 288–291; paper pages 1–4]. The native PDF confirms the endpoint defect in Question 2: its slope formula evaluates $f$ outside $[0,1]$ when $X=1$. We specify values on that <null set> below. Question 1(b)'s literal <measurability> assertion uses everywhere sign-valued <random variables>; for arbitrary versions with the stated <probability distributions>, it holds up to <null sets>, as explained in the solution.