Question $2$: Confusion Matrix $(60$ points$)$

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Given the following Confusion Matrix for a binary classification model:

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Predicted Positive $(+)$

Predicted Negative $(-)$

Actual Positive $(+)$

$98$

$20$

Actual Negative $(-)$

$37$

$143$

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Compute the following evaluation metrics:

$$ Accuracy

$$ Precision $($Positive Predictive Value$)$

$$ Recall $($Sensitivity or True Positive Rate$)$

$$ Specificity $($True Negative Rate$)$F$-$measure

$$ Sensitivity

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Show the formulas used for each calculation and provide a step$-$by$-$step solution with the final results for each metric.