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Convert the contingency table into a joint probability table. (Round your interm

ID: 3360355 • Letter: C

Question



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


B

Bc

Total

   A

  

  

  

   Ac

  

  

  

   Total

  

  

  






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



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




Consider the following contingency table.

Explanation / Answer

a) The joint probability table will be:

b) P(A occurs) = 0.49

c) P(A and B occurs) = 0.26

d) P(A|B) = 0.26/0.52 = 0.50

e) P(B|Ac) = 0.26/0.51 = 0.5098

f) No because P(A B) 0.

g) No because P(A | B) P(A)

B Bc Total A 0.26 0.23 0.49 Ac 0.26 0.25 0.51 Total 0.52 0.48 1