Search problems

1 problem matches “Bayes' theorem”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Combining four experts about a label ●●○○○ 20 ptsFour independent experts have probabilities $p_1=0.8$, $p_2=0.7$, $p_3=0.6$ and $p_4=0.5$ of being correct about a binary label $L\in\{+1,-1\}$, with a uniform prior on $L$. Expert 1 reports $L_1=-1$, expert 2 reports $L_2=+1$ and expert 3 reports $L_3=+1$ (expert 4's report is not given). Using the classifier $C(S)=\sum_i \frac{L_i}{2}\log\left(\frac{p_i}{1-p_i}\right)$, find $\Pr(L=+1\mid S)$. Round to two decimal places.