(4.2) Assume that a Bayesian classifier returns the following outcomes for a binary classification problem, which are sorted by decreasing probability values. P (resp., N) refers to a record belonging to a positive (resp., negative) class. Tuple # Class Probability 1 P 0.90 2 P 0.80 U 3 0.70 4 N 0.60 P 0.55 P 0.54 N 0.53 his 8 N 0.51 9 P 0.50 10 N 0.40 Answer the following questions for the above example, and present all steps of calculation in detail. (a) What is the F score (i.e. F1 score) if setting the probabilistic classification threshold to 0.59? (b) What is the highest probabilistic classification threshold such that the recall (sensitivity) is at least 80%