The table below shoes the probabilities for colorblindness (C) and deafness (D) in a certain population sample.   Are the events colorblind and deaf independent? Explain what this means, and justify your answer mathematically.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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8. The table below shoes the probabilities for colorblindness (C) and deafness (D) in a certain population sample.

 

Are the events colorblind and deaf independent? Explain what this means, and justify your answer mathematically.

 

C
C'
Totals
D
0.0008
0.0192
0.0200
D'
0.0392
0.9408
0.9800
Totals
0.0400
0.9600
1.000
Transcribed Image Text:C C' Totals D 0.0008 0.0192 0.0200 D' 0.0392 0.9408 0.9800 Totals 0.0400 0.9600 1.000
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