e that a Bayesian classifier returns the following outcomes for a binary classification pro rted by decreasing probability values. P (resp., N) refers to a record belonging to a positive ( ass. Tuple # 1 Class Probability 0.90 0.80 0.70 3 P

C++ Programming: From Problem Analysis to Program Design
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(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 #
1
Probability
0.90
0.80
Class
P
P.
3
0.70
4
N
0.60
0.55
0.54
0.53
0.51
0.50
0.40
7
8
N
10
N
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%?
Transcribed Image Text:(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 # 1 Probability 0.90 0.80 Class P P. 3 0.70 4 N 0.60 0.55 0.54 0.53 0.51 0.50 0.40 7 8 N 10 N 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%?
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