A hospital has implemented a binary classification to predict if a patient suffers from Alzeimer disease or not. They test the performance of the model on a group of $300$ patients and the results are shown in the following table.

Actual

No Yes

$\backslash$table$[[$No$,300,30],[$Yes$,40,20]]$

a$)$ Calculate the accuracy, precision, recall and f$1-$score of the model

b$)$ Since the obtained accuracy is high, can we state that the model has high performance in this case? Justify your answer.

c$)$ Which metric is more suitable to measure the performance in this scenario, accuracy or F$1-$measure? Why?