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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.
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