confusion matrix exam question solve | confusion matrix A to Z | precision , recall,accura formula

confusion matrix exam question solve | confusion matrix A to Z | precision , recall,accura formula
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Let's define the terms:

True Positive (TP): Spam emails correctly identified as spam.
False Negative (FN): Spam emails incorrectly identified as not spam.
False Positive (FP): Non-spam emails incorrectly identified as spam.
True Negative (TN): Non-spam emails correctly identified as not spam.
Calculations
TP (True Positive): Spam emails correctly identified as spam.

Given: Out of 150 detected as spam, only 50 are actually spam.
So, TP = 50.
FN (False Negative): Spam emails incorrectly identified as not spam.

Total spam emails = 200.
TP (correctly identified as spam) = 50.
FN = Total spam - TP = 200 − 50 = 150
200−50=150.
FP (False Positive): Non-spam emails incorrectly identified as spam.

Total detected as spam = 150.
True Positives (actual spams identified correctly) = 50.
FP = Total detected as spam - TP = 150−50=100
150−50=100.
TN (True Negative): Non-spam emails correctly identified as not spam.

Total emails = 10,000.
Total non-spam = Total emails - Total spam = 10,000−200=9,
800
10,000−200=9,800.
FP = 100.
TN = Total non-spam - FP = 9,800−100=9,700
9,800−100=9,700.
Summary
TP = 50
FN = 150
FP = 100
TN = 9,700
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