A$)$There are only $20$ cases where $8$ patients are diagnoses correctly as positive and $4$ incorrectly. There were $8$ patients diagnoses with a negative result, $5$ correctly and $3$ incorrectly. Complete the confusion matrix and determine precision, recall, accuracy and F$1-$ score

B$)$ Design a star schema for the management of University exams. USE AS FACTS the result of the exams taken by the students. Use as dimension the following:

$1)$ time;

$2)$ the location of the exam $($supposing the faculty to be organized over more than one site$)$;

$3)$ the lecture involved;

$4)$ the characteristics of the student $($for example, the data concerning pre$-$ university schoolrecords, grades achieved in the university admission exam, and chosen degree course