Problem $5.$ EvaluationBelow is a table showing how two human judges rated the relevance of a set of $12$ documents to a particular information need $(0=$ nonrelevant, $1=$ relevant$).$ Let us assume that youve written an IR system that for this query returns the set of documents $\{3,4,5,6,7,8\}.$docIDJudge$1$Judge$21002003114115106017108109011011110112011)$ Calculate the kappa measure between the two judges;$2)$ Calculate precision, recall, and F$1$ of your system if a document is considered relevantonly if the two judges agree;$3)$ Calculate precision, recall, and F$1$ of your system if a document is considered relevantif either judge thinks it is relevant.$($Hint: create a confusion matrix$)$