Consider the following contingency table. B Bc A 22 24 Ac 32 22
a. Convert the contingency table into a joint probability table.
(Round intermediate calculations to at least 4 decimal places and
final answer to 4 decimal places.) b. What is the probability that
A occurs? (Round intermediate calculations to at least 4 decimal
places and final answer to 4 decimal places.) c. What is the
probability that A and B occur? (Round intermediate calculations to
at least 4 decimal places and final answer to 4 decimal places.) d.
Given that B has occurred, what is the probability that A occurs?
(Round intermediate calculations to at least 4 decimal places and
final answer to 4 decimal places.) e. Given that Ac has occurred,
what is the probability that B occurs? (Round intermediate
calculations to at least 4 decimal places and final answer to 4
decimal places.) f. Are A and B mutually exclusive events? multiple
choice 1 Yes because P(A | B) ≠ P(A). Yes because P(A ∩ B) ≠ 0. No
because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. g. Are A and B
independent events? multiple choice 2 Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0. No because P(A | B) ≠ P(A). No because
P(A ∩ B) ≠ 0.