Test the pair of events B and F for independence based on the following table. B 0.04 0.03 0.03 0.10 D E F Total A 0.12 0.09 0.09 0.30 с 0.24 0.18 0.18 0.60 Total 0.40 0.30 0.30 1.00 Are B and F independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. B and F are dependent because P(BNF) does not equal P(B)P(F). P(BNF) = and P(B)P(F)= O B. B and F are dependent because P(BNF) equals P(B)P(F). P(BNF)= and P(B)P(F) = OC. B and F are independent because P(BNF) does not equal P(B)P(F). P(BNF)= and P(B)P(F) = O D. B and F are independent because P(BNF) equals P(B)P(F). P(BNF) = and P(B)P(F) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 21E
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Test the pair of events B and F for independence based on the following table.
B
0.04
0.03
0.03
0.10
D
E
F
Total
A
0.12
0.09
0.09
0.30
C
0.24
0.18
0.18
0.60
Total
0.40
0.30
0.30
1.00
Are B and F independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice.
O A. B and F are dependent because P(BNF) does not equal P(B)P(F). P(BNF) = and P(B)P(F)=
OB. B and F are dependent because P(BNF) equals P(B)P(F). P(BNF)= and P(B)P(F)=
O C. B and F are independent because P(BNF) does not equal P(B)P(F). P(BNF) = and P(B)P(F) =
O D. B and F are independent because P(BNF) equals P(B)P(F). P(BNF)= and P(B)P(F) =
Transcribed Image Text:Test the pair of events B and F for independence based on the following table. B 0.04 0.03 0.03 0.10 D E F Total A 0.12 0.09 0.09 0.30 C 0.24 0.18 0.18 0.60 Total 0.40 0.30 0.30 1.00 Are B and F independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. B and F are dependent because P(BNF) does not equal P(B)P(F). P(BNF) = and P(B)P(F)= OB. B and F are dependent because P(BNF) equals P(B)P(F). P(BNF)= and P(B)P(F)= O C. B and F are independent because P(BNF) does not equal P(B)P(F). P(BNF) = and P(B)P(F) = O D. B and F are independent because P(BNF) equals P(B)P(F). P(BNF)= and P(B)P(F) =
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