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.)
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