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 
B^{c} 
Total 
A 



A^{c} 



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? 






g. 
Are A and B independent events? 






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