23 Convert the contingency table into a joint probability ta

(23)

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

B

B^c

Total

   A

   A^c

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

Solution

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