CAPE Applied Mathematics Unit 1 · 2016 · Paper 1 · Question Q42

Item 42 refers to the following contingency table which gives the results of a football team over 40 matches. \begin{tabular}{|l|c|c|c|} \hline & \textbf{Good Weather} & \textbf{Bad Weather} & \textbf{Total} \\ \hline \textbf{Win} & 13 & 5 & 18 \\ \hline \textbf{Draw} & 2 & 8 & 10 \\ \hline \textbf{Lose} & 2 & 10 & 12 \\ \hline \textbf{Total} & 17 & 23 & 40 \\ \hline \end{tabular} A \chi^2 significance test for independence is conducted on the effect of the weather on the team's performance. The expected frequency for the number of losses in bad weather is

1. (A)\frac{10 \times 12}{40}
2. (B)\frac{23 \times 10}{40}
3. (C)\frac{23 \times 12}{40}
4. (D)\frac{23 \times 17}{40}

This question uses a figure or table from the paper — you'll see it when you practise.