Question

Test the pair of events B and E for independence based on the following table. A B C Total D 0.25 0.05 0.30 0.60 E 0.04 0.09 0.07 0.20 F 0.01 0.06 0.13 0.20 Total 0.30 0.20 0.50 1.00 Are B and E independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. A. B and E are independent because $P(B \cap E)$ does not equal $P(B)P(E)$. $P(B \cap E) = $ and $P(B)P(E) = $ B. B and E are independent because $P(B \cap E)$ equals $P(B)P(E)$. $P(B \cap E) = $ and $P(B)P(E) = $ C. B and E are dependent because $P(B \cap E)$ does not equal $P(B)P(E)$. $P(B \cap E) = $ and $P(B)P(E) = $ D. B and E are dependent because $P(B \cap E)$ equals $P(B)P(E)$. $P(B \cap E) = $ and $P(B)P(E) = $

          Test the pair of events B and E for independence based on the following table.
A
B
C
Total
D
0.25
0.05
0.30
0.60
E
0.04
0.09
0.07
0.20
F
0.01
0.06
0.13
0.20
Total
0.30
0.20
0.50
1.00
Are B and E independent or dependent and why? Select the correct answer below and fill in the
answer boxes to complete your choice.
A. B and E are independent because $P(B \cap E)$ does not equal $P(B)P(E)$. $P(B \cap E) = 
$ and
$P(B)P(E) = 
$
B. B and E are independent because $P(B \cap E)$ equals $P(B)P(E)$. $P(B \cap E) = 
$ and
$P(B)P(E) = 
$
C. B and E are dependent because $P(B \cap E)$ does not equal $P(B)P(E)$. $P(B \cap E) = 
$ and
$P(B)P(E) = 
$
D. B and E are dependent because $P(B \cap E)$ equals $P(B)P(E)$. $P(B \cap E) = 
$ and $P(B)P(E) = 
$
        
Show more…
Test the pair of events B and E for independence based on the following table.
A
B
C
Total
D
0.25
0.05
0.30
0.60
E
0.04
0.09
0.07
0.20
F
0.01
0.06
0.13
0.20
Total
0.30
0.20
0.50
1.00
Are B and E independent or dependent and why? Select the correct answer below and fill in the
answer boxes to complete your choice.
A. B and E are independent because P(B ∩ E) does not equal P(B)P(E). P(B ∩ E) = and
P(B)P(E) =
B. B and E are independent because P(B ∩ E) equals P(B)P(E). P(B ∩ E) = and
P(B)P(E) =
C. B and E are dependent because P(B ∩ E) does not equal P(B)P(E). P(B ∩ E) = and
P(B)P(E) =
D. B and E are dependent because P(B ∩ E) equals P(B)P(E). P(B ∩ E) = and P(B)P(E) =

Added by Alex S.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Test the pair of events B and E for independence based on the following table. | | A | B | c | Total | |---|-----|-----|-----|-------| | D | 0.25| 0.05| 0.30| 0.60 | | E | 0.04| 0.09| 0.07| 0.20 | | F | 0.01| 0.06| 0.13| 0.20 | |Total| 0.30| 0.20| 0.50| 1.00 | Are B and E independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. and P(B)P(E) = (3/8) * (3/8) = 9/64 O C. B and E are dependent because P(BNE) does not equal P(B)P(E). P(BNE) = 0.09 and P(B)P(E) = 9/64.
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Transcript

-
00:01 Hi, i'm david and i'm here to have you answer your question.
00:03 In the question here, we are going to discuss about the independent of the two events.
00:09 We will continue that if a and b are independent, then we have the probability of the for the two events.
00:35 And let me go back to your question and check copy the portion of your question because i'm not allowed to copy the full question.
00:43 And i will put the table down here.
00:47 Now from the table here we need to check if the event d and e independent.
00:53 So d will be this one and the e will be this one.
01:03 And we see that to verify if they are independent or not, we need to find the probability of the d and the.....
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