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

Consider the following contingency table.  

	B	Bc
A	26	23
Ac	26	25

 

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

	B	Bc	Total
A
Ac
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?
	a. Yes because P(A | B) ≠ P(A). b. Yes because P(A ∩ B) ≠ 0. c. No because P(A | B) ≠ P(A). d. No because P(A ∩ B) ≠ 0.

 

g.	Are A and B independent events?
	a. Yes because P(A | B) ≠ P(A). b. Yes because P(A ∩ B) ≠ 0. c. No because P(A | B) ≠ P(A). d. No becauseP(A∩B) ≠ 0.