A. convert the contingency table into a joint probability table.

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. 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:

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.

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.