Test the pair of events C and D for independence based on the following table. A B 0.18 0.02 D E Total 0.06 0.06 0.30 0.10 0.08 0.20 C 0.20 0.04 0.26 0.50 Total 0.40 0.20 0.40 1.00 and P(C)P(D)= Are C and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. C and D are dependent because P(COD) does not equal P(C)P(D). P(CND)= O B. C and D are independent because P(COD) does not equal P(C)P(D). P(CND)= and P(C)P(D)= OC. C and D are dependent because P(CND) equals P(C)P(D). P(COD)= and P(C)P(D)= OD. C and D are independent because P(CND) equals P(C)P(D). P(CND)= and P(C)P(D)=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Test the pair of events C and D for independence based on the following table.
B
A
0.18
0.02
0.06
0.10
0.06
0.08
0.30
0.20
D
E
F
Total
с
0.20
0.04
0.26
0.50
Total
0.40
0.20
0.40
1.00
and P(C)P(D) =
C
Are C and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice.
O A. C and D are dependent because P(COD) does not equal P(C)P(D). P(CND)= and P(C)P(D)=
O B. C and D are independent because P(COD) does not equal P(C)P(D). P(CND)= and P(C)P(D)=
O C. C and D are dependent because P(CND) equals P(C)P(D). P(CND)=
O D. C and D are independent because P(CND) equals P(C)P(D). P(CND)=
and P(C)P(D)=
Transcribed Image Text:Test the pair of events C and D for independence based on the following table. B A 0.18 0.02 0.06 0.10 0.06 0.08 0.30 0.20 D E F Total с 0.20 0.04 0.26 0.50 Total 0.40 0.20 0.40 1.00 and P(C)P(D) = C Are C and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. C and D are dependent because P(COD) does not equal P(C)P(D). P(CND)= and P(C)P(D)= O B. C and D are independent because P(COD) does not equal P(C)P(D). P(CND)= and P(C)P(D)= O C. C and D are dependent because P(CND) equals P(C)P(D). P(CND)= O D. C and D are independent because P(CND) equals P(C)P(D). P(CND)= and P(C)P(D)=
Expert Solution
Step 1

Solution:

We know that two events C and D are independent if any one of the following conditions hold.

1)P(CD) =P(C)×P(D)2)P(C|D) =P(C)3)P(D|C) =P(D)

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