(23) Convert the contingency table into a joint probability table. (Round your i

ID: 3430570 • Letter: #

Question

(23)

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

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.

b) P(A) = 0.5

c)P(AB) = 0.36

d)P(B/A) = P(AB)/P(A) = 0.36/0.5 = 0.72

e)P(B/A') = P(A'B)/P(A')

=0.25/0.5 = 0.5

f) P(AB)=0.36 not 0

Hence not mutually exclusive

g) P(AB) =0.36

P(A)P(B) = 0.305 not equal

Hence not independent

B B' Total A 0.36 0.14 0.5 A' 0.25 0.25 0.5 Total 0.61 0.36 1

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