Use the following distribution of 33 voters at eight different positions over the interval [0, 1] to answer Questions $$\begin{array} { | l | c | c | c | c | c | c | c | c | }
\hline \text { Position } & 0.1 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \
\hline \begin{array} { l }
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 6 & 6 & 6 & 2 & 5 & 3 \
\hline
\end{array}$$
-For two candidates A and B with distinct policy positions 0.3 and 0.8, respectively, find the number of votes for the candidate A based on voter's ideal positions.

Question

Use the following distribution of 33 voters at eight different positions over the interval [0, 1] to answer Questions $$\begin{array} { | l | c | c | c | c | c | c | c | c | } 
\hline \text { Position } & 0.1 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \
\hline \begin{array} { l } 
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 6 & 6 & 6 & 2 & 5 & 3 \
\hline
\end{array}$$
-For two candidates A and B with distinct policy positions 0.3 and 0.8, respectively, find the number of votes for the candidate A based on voter's ideal positions.

Quizplus · Accepted Answer

Voters will vote for the candidate whose policy position is closest to their ideal position. For candidate A at position 0.3, voters at positions 0.1, 0.3, 0.4, and 0.5 will likely vote for A because these positions are closer to 0.3 than to 0.8. Adding up the voters: 1 (at 0.1) + 4 (at 0.3) + 6 (at 0.4) + 6 (at 0.5) = 17 votes for candidate A.

Use the Following Distribution of 33 Voters at Eight Different