Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 207 / 2 / 2 / 7 / b

For $Z=0$, the fitted conditional success probabilities for $W$ areAmong all 250 subjects with $Z=0$, multiple imputation asymptotically assigns $100$ to $Y=0$ and $150$ to $Y=1$. HenceUsing the supplied limit for ${\hat{\psi }}_1$ gives