A scientist wishes to determine whether there is any dependence between color blindness (C) and deafness (D). Use the probabilities in the table to find P(C), P(D), Upper P left parenthesis Upper C intersect Upper D right parenthesisP(C∩D), and P(C|D). Does P(C)equals=P(C|D)? What does that result imply regarding independence of C and D? D D' Total C 0.00130.0013 0.07870.0787 0.0800 C' 0.00370.0037 0.91630.9163 0.9200 Total 0.0050 0.9950 1.0000
A scientist wishes to determine whether there is any dependence between color blindness (C) and deafness (D). Use the probabilities in the table to find P(C), P(D), Upper P left parenthesis Upper C intersect Upper D right parenthesisP(C∩D), and P(C|D). Does P(C)equals=P(C|D)? What does that result imply regarding independence of C and D? D D' Total C 0.00130.0013 0.07870.0787 0.0800 C' 0.00370.0037 0.91630.9163 0.9200 Total 0.0050 0.9950 1.0000
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 16P: Suppose that you are given a decision situation with three possible states of nature: s1, s2, and...
Related questions
Question
|
A scientist wishes to determine whether there is any dependence between color blindness (C) and deafness (D). Use the probabilities in the table to find P(C), P(D),
Upper P left parenthesis Upper C intersect Upper D right parenthesisP(C∩D),
and P(C|D). Does
P(C)equals=P(C|D)?
What does that result imply regarding independence of C and D? |
|
|
D
|
D'
|
Total
|
|
|---|---|---|---|---|---|---|
|
|
C
|
0.00130.0013
|
0.07870.0787
|
0.0800
|
|
|
|
|
C'
|
0.00370.0037
|
0.91630.9163
|
0.9200
|
|
|
|
|
Total
|
0.0050
|
0.9950
|
1.0000
|
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