A. convert the contingency table into a joint probability table.

A. convert the contingency table into a joint probability table.

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Consider the following contingency table.
 


 

a.         Convert the contingency table into a joint probability table. (Round your intermediate calculations and final answers to 4 decimal places.)
 

 

B

Bc

Total

   A

  

  

  

   Ac

  

  

  

   Total

  

  

  


 

b.         What is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)

 

 

  Probability:   

 

 

c.         What is the probability that A and B occur? (Round your intermediate calculations and final answer to 4 decimal places.)

 

 

  Probability:   

 

 

d.         Given that B has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)

 

 

  Probability:   

 

 

e.         Given that Ac has occurred, what is the probability that B occurs? (Round your intermediate calculations and final answer to 4 decimal places.)

 

 

  Probability:   

 

 

f.

Are A and B mutually exclusive events?

 

 

 

a. Yes because P(A | B) ≠ P(A).

b. Yes because P(A ∩ B) ≠ 0.

c. No because P(A | B) ≠ P(A).

d. No because P(A ∩ B) ≠ 0.


 

g.

Are A and B independent events?

 

 

 

a. Yes because P(A | B) ≠ P(A).

b. Yes because P(A ∩ B) ≠ 0.

c. No because P(A | B) ≠ P(A).

d. No becauseP(A∩B) ≠ 0.

 

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